What is the Least Common Multiple of 76712 and 76718?

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 76712 and 76718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76712 and 76718, than apply into the LCM equation.

GCF(76712,76718) = 2
LCM(76712,76718) = ( 76712 × 76718) / 2
LCM(76712,76718) = 5885191216 / 2
LCM(76712,76718) = 2942595608

Least Common Multiple (LCM) of 76712 and 76718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76712 and 76718. First we will calculate the prime factors of 76712 and 76718.

Prime Factorization of 76712

Prime Factorization of 76718

Now multiplying the highest exponent prime factors to calculate the LCM of 76712 and 76718.

LCM(76712,76718) = 2³ × 43¹ × 223¹ × 89¹ × 431¹
LCM(76712,76718) = 2942595608