What is the Least Common Multiple of 34972 and 34982?

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 34972 and 34982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34972 and 34982, than apply into the LCM equation.

GCF(34972,34982) = 2
LCM(34972,34982) = ( 34972 × 34982) / 2
LCM(34972,34982) = 1223390504 / 2
LCM(34972,34982) = 611695252

Least Common Multiple (LCM) of 34972 and 34982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34972 and 34982. First we will calculate the prime factors of 34972 and 34982.

Prime Factorization of 34972

Prime Factorization of 34982

Now multiplying the highest exponent prime factors to calculate the LCM of 34972 and 34982.

LCM(34972,34982) = 2² × 7¹ × 1249¹ × 17491¹
LCM(34972,34982) = 611695252