What is the Least Common Multiple of 72644 and 72651?

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 72644 and 72651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72644 and 72651, than apply into the LCM equation.

GCF(72644,72651) = 1
LCM(72644,72651) = ( 72644 × 72651) / 1
LCM(72644,72651) = 5277659244 / 1
LCM(72644,72651) = 5277659244

Least Common Multiple (LCM) of 72644 and 72651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72644 and 72651. First we will calculate the prime factors of 72644 and 72651.

Prime Factorization of 72644

Prime Factorization of 72651

Now multiplying the highest exponent prime factors to calculate the LCM of 72644 and 72651.

LCM(72644,72651) = 2² × 11¹ × 13¹ × 127¹ × 3¹ × 61¹ × 397¹
LCM(72644,72651) = 5277659244