What is the Least Common Multiple of 81678 and 81692?

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 81678 and 81692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81678 and 81692, than apply into the LCM equation.

GCF(81678,81692) = 2
LCM(81678,81692) = ( 81678 × 81692) / 2
LCM(81678,81692) = 6672439176 / 2
LCM(81678,81692) = 3336219588

Least Common Multiple (LCM) of 81678 and 81692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81678 and 81692. First we will calculate the prime factors of 81678 and 81692.

Prime Factorization of 81678

Prime Factorization of 81692

Now multiplying the highest exponent prime factors to calculate the LCM of 81678 and 81692.

LCM(81678,81692) = 2² × 3¹ × 13613¹ × 13¹ × 1571¹
LCM(81678,81692) = 3336219588