What is the Least Common Multiple of 41972 and 41979?

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 41972 and 41979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41972 and 41979, than apply into the LCM equation.

GCF(41972,41979) = 7
LCM(41972,41979) = ( 41972 × 41979) / 7
LCM(41972,41979) = 1761942588 / 7
LCM(41972,41979) = 251706084

Least Common Multiple (LCM) of 41972 and 41979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41972 and 41979. First we will calculate the prime factors of 41972 and 41979.

Prime Factorization of 41972

Prime Factorization of 41979

Now multiplying the highest exponent prime factors to calculate the LCM of 41972 and 41979.

LCM(41972,41979) = 2² × 7¹ × 1499¹ × 3¹ × 1999¹
LCM(41972,41979) = 251706084