What is the Least Common Multiple of 642 and 655?
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 655 is 420510.
LCM(642,655) = 420510
Least Common Multiple of 642 and 655 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 655, than apply into the LCM equation.
GCF(642,655) = 1
LCM(642,655) = ( 642 × 655) / 1
LCM(642,655) = 420510 / 1
LCM(642,655) = 420510
Least Common Multiple (LCM) of 642 and 655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 642 and 655. First we will calculate the prime factors of 642 and 655.
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 655
Prime factors of 655 are 5, 131. Prime factorization of 655 in exponential form is:
655 = 51 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 642 and 655.
LCM(642,655) = 21 × 31 × 1071 × 51 × 1311
LCM(642,655) = 420510
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