What is the Least Common Multiple of 652 and 672?
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 652 and 672 is 109536.
LCM(652,672) = 109536
Least Common Multiple of 652 and 672 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 652 and 672, than apply into the LCM equation.
GCF(652,672) = 4
LCM(652,672) = ( 652 × 672) / 4
LCM(652,672) = 438144 / 4
LCM(652,672) = 109536
Least Common Multiple (LCM) of 652 and 672 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 652 and 672. First we will calculate the prime factors of 652 and 672.
Prime Factorization of 652
Prime factors of 652 are 2, 163. Prime factorization of 652 in exponential form is:
652 = 22 × 1631
Prime Factorization of 672
Prime factors of 672 are 2, 3, 7. Prime factorization of 672 in exponential form is:
672 = 25 × 31 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 652 and 672.
LCM(652,672) = 25 × 1631 × 31 × 71
LCM(652,672) = 109536
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