What is the Least Common Multiple of 71640 and 71651?

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 71640 and 71651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71640 and 71651, than apply into the LCM equation.

GCF(71640,71651) = 1
LCM(71640,71651) = ( 71640 × 71651) / 1
LCM(71640,71651) = 5133077640 / 1
LCM(71640,71651) = 5133077640

Least Common Multiple (LCM) of 71640 and 71651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71640 and 71651. First we will calculate the prime factors of 71640 and 71651.

Prime Factorization of 71640

Prime Factorization of 71651

Now multiplying the highest exponent prime factors to calculate the LCM of 71640 and 71651.

LCM(71640,71651) = 2³ × 3² × 5¹ × 199¹ × 137¹ × 523¹
LCM(71640,71651) = 5133077640