What is the Least Common Multiple of 639 and 652?
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 639 and 652 is 416628.
LCM(639,652) = 416628
Least Common Multiple of 639 and 652 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 639 and 652, than apply into the LCM equation.
GCF(639,652) = 1
LCM(639,652) = ( 639 × 652) / 1
LCM(639,652) = 416628 / 1
LCM(639,652) = 416628
Least Common Multiple (LCM) of 639 and 652 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 639 and 652. First we will calculate the prime factors of 639 and 652.
Prime Factorization of 639
Prime factors of 639 are 3, 71. Prime factorization of 639 in exponential form is:
639 = 32 × 711
Prime Factorization of 652
Prime factors of 652 are 2, 163. Prime factorization of 652 in exponential form is:
652 = 22 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 639 and 652.
LCM(639,652) = 32 × 711 × 22 × 1631
LCM(639,652) = 416628
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