What is the Least Common Multiple of 7654 and 7672?

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 7654 and 7672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7654 and 7672, than apply into the LCM equation.

GCF(7654,7672) = 2
LCM(7654,7672) = ( 7654 × 7672) / 2
LCM(7654,7672) = 58721488 / 2
LCM(7654,7672) = 29360744

Least Common Multiple (LCM) of 7654 and 7672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7654 and 7672. First we will calculate the prime factors of 7654 and 7672.

Prime Factorization of 7654

Prime Factorization of 7672

Now multiplying the highest exponent prime factors to calculate the LCM of 7654 and 7672.

LCM(7654,7672) = 2³ × 43¹ × 89¹ × 7¹ × 137¹
LCM(7654,7672) = 29360744