What is the Least Common Multiple of 60968 and 60982?

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 60968 and 60982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60968 and 60982, than apply into the LCM equation.

GCF(60968,60982) = 2
LCM(60968,60982) = ( 60968 × 60982) / 2
LCM(60968,60982) = 3717950576 / 2
LCM(60968,60982) = 1858975288

Least Common Multiple (LCM) of 60968 and 60982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60968 and 60982. First we will calculate the prime factors of 60968 and 60982.

Prime Factorization of 60968

Prime Factorization of 60982

Now multiplying the highest exponent prime factors to calculate the LCM of 60968 and 60982.

LCM(60968,60982) = 2³ × 7621¹ × 30491¹
LCM(60968,60982) = 1858975288