What is the Least Common Multiple of 78654 and 78672?

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 78654 and 78672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78654 and 78672, than apply into the LCM equation.

GCF(78654,78672) = 6
LCM(78654,78672) = ( 78654 × 78672) / 6
LCM(78654,78672) = 6187867488 / 6
LCM(78654,78672) = 1031311248

Least Common Multiple (LCM) of 78654 and 78672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78654 and 78672. First we will calculate the prime factors of 78654 and 78672.

Prime Factorization of 78654

Prime Factorization of 78672

Now multiplying the highest exponent prime factors to calculate the LCM of 78654 and 78672.

LCM(78654,78672) = 2⁴ × 3¹ × 13109¹ × 11¹ × 149¹
LCM(78654,78672) = 1031311248