What is the Least Common Multiple of 32678 and 32692?

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 32678 and 32692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32678 and 32692, than apply into the LCM equation.

GCF(32678,32692) = 2
LCM(32678,32692) = ( 32678 × 32692) / 2
LCM(32678,32692) = 1068309176 / 2
LCM(32678,32692) = 534154588

Least Common Multiple (LCM) of 32678 and 32692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32678 and 32692. First we will calculate the prime factors of 32678 and 32692.

Prime Factorization of 32678

Prime Factorization of 32692

Now multiplying the highest exponent prime factors to calculate the LCM of 32678 and 32692.

LCM(32678,32692) = 2² × 16339¹ × 11¹ × 743¹
LCM(32678,32692) = 534154588