What is the Least Common Multiple of 62680 and 62696?

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 62680 and 62696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62680 and 62696, than apply into the LCM equation.

GCF(62680,62696) = 8
LCM(62680,62696) = ( 62680 × 62696) / 8
LCM(62680,62696) = 3929785280 / 8
LCM(62680,62696) = 491223160

Least Common Multiple (LCM) of 62680 and 62696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62680 and 62696. First we will calculate the prime factors of 62680 and 62696.

Prime Factorization of 62680

Prime Factorization of 62696

Now multiplying the highest exponent prime factors to calculate the LCM of 62680 and 62696.

LCM(62680,62696) = 2³ × 5¹ × 1567¹ × 17¹ × 461¹
LCM(62680,62696) = 491223160