What is the Least Common Multiple of 662 and 674?
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 662 and 674 is 223094.
LCM(662,674) = 223094
Least Common Multiple of 662 and 674 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 662 and 674, than apply into the LCM equation.
GCF(662,674) = 2
LCM(662,674) = ( 662 × 674) / 2
LCM(662,674) = 446188 / 2
LCM(662,674) = 223094
Least Common Multiple (LCM) of 662 and 674 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 662 and 674. First we will calculate the prime factors of 662 and 674.
Prime Factorization of 662
Prime factors of 662 are 2, 331. Prime factorization of 662 in exponential form is:
662 = 21 × 3311
Prime Factorization of 674
Prime factors of 674 are 2, 337. Prime factorization of 674 in exponential form is:
674 = 21 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 662 and 674.
LCM(662,674) = 21 × 3311 × 3371
LCM(662,674) = 223094
Related Least Common Multiples of 662
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Related Least Common Multiples of 674
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- LCM of 674 and 694