What is the Least Common Multiple of 37628 and 37642?

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 37628 and 37642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37628 and 37642, than apply into the LCM equation.

GCF(37628,37642) = 2
LCM(37628,37642) = ( 37628 × 37642) / 2
LCM(37628,37642) = 1416393176 / 2
LCM(37628,37642) = 708196588

Least Common Multiple (LCM) of 37628 and 37642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37628 and 37642. First we will calculate the prime factors of 37628 and 37642.

Prime Factorization of 37628

Prime Factorization of 37642

Now multiplying the highest exponent prime factors to calculate the LCM of 37628 and 37642.

LCM(37628,37642) = 2² × 23¹ × 409¹ × 11¹ × 29¹ × 59¹
LCM(37628,37642) = 708196588