What is the Least Common Multiple of 76720 and 76726?

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 76720 and 76726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76720 and 76726, than apply into the LCM equation.

GCF(76720,76726) = 2
LCM(76720,76726) = ( 76720 × 76726) / 2
LCM(76720,76726) = 5886418720 / 2
LCM(76720,76726) = 2943209360

Least Common Multiple (LCM) of 76720 and 76726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76720 and 76726. First we will calculate the prime factors of 76720 and 76726.

Prime Factorization of 76720

Prime Factorization of 76726

Now multiplying the highest exponent prime factors to calculate the LCM of 76720 and 76726.

LCM(76720,76726) = 2⁴ × 5¹ × 7¹ × 137¹ × 13² × 227¹
LCM(76720,76726) = 2943209360