What is the Least Common Multiple of 7638 and 7652?

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 of 7638 and 7652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7638 and 7652, than apply into the LCM equation.

GCF(7638,7652) = 2
LCM(7638,7652) = ( 7638 × 7652) / 2
LCM(7638,7652) = 58445976 / 2
LCM(7638,7652) = 29222988

Least Common Multiple (LCM) of 7638 and 7652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7638 and 7652. First we will calculate the prime factors of 7638 and 7652.

Prime Factorization of 7638

Prime Factorization of 7652

Now multiplying the highest exponent prime factors to calculate the LCM of 7638 and 7652.

LCM(7638,7652) = 2² × 3¹ × 19¹ × 67¹ × 1913¹
LCM(7638,7652) = 29222988