What is the Least Common Multiple of 7656 and 7673?

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 7656 and 7673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7656 and 7673, than apply into the LCM equation.

GCF(7656,7673) = 1
LCM(7656,7673) = ( 7656 × 7673) / 1
LCM(7656,7673) = 58744488 / 1
LCM(7656,7673) = 58744488

Least Common Multiple (LCM) of 7656 and 7673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7656 and 7673. First we will calculate the prime factors of 7656 and 7673.

Prime Factorization of 7656

Prime Factorization of 7673

Now multiplying the highest exponent prime factors to calculate the LCM of 7656 and 7673.

LCM(7656,7673) = 2³ × 3¹ × 11¹ × 29¹ × 7673¹
LCM(7656,7673) = 58744488