What is the Least Common Multiple of 642 and 648?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 642 and 648 is 69336.
LCM(642,648) = 69336
Least Common Multiple of 642 and 648 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 642 and 648, than apply into the LCM equation.
GCF(642,648) = 6
LCM(642,648) = ( 642 × 648) / 6
LCM(642,648) = 416016 / 6
LCM(642,648) = 69336
Least Common Multiple (LCM) of 642 and 648 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 642 and 648. First we will calculate the prime factors of 642 and 648.
Prime Factorization of 642
Prime factors of 642 are 2, 3, 107. Prime factorization of 642 in exponential form is:
642 = 21 × 31 × 1071
Prime Factorization of 648
Prime factors of 648 are 2, 3. Prime factorization of 648 in exponential form is:
648 = 23 × 34
Now multiplying the highest exponent prime factors to calculate the LCM of 642 and 648.
LCM(642,648) = 23 × 34 × 1071
LCM(642,648) = 69336
Related Least Common Multiples of 642
- LCM of 642 and 646
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Related Least Common Multiples of 648
- LCM of 648 and 652
- LCM of 648 and 653
- LCM of 648 and 654
- LCM of 648 and 655
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