What is the Least Common Multiple of 40054 and 40072?

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 40054 and 40072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40054 and 40072, than apply into the LCM equation.

GCF(40054,40072) = 2
LCM(40054,40072) = ( 40054 × 40072) / 2
LCM(40054,40072) = 1605043888 / 2
LCM(40054,40072) = 802521944

Least Common Multiple (LCM) of 40054 and 40072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40054 and 40072. First we will calculate the prime factors of 40054 and 40072.

Prime Factorization of 40054

Prime Factorization of 40072

Now multiplying the highest exponent prime factors to calculate the LCM of 40054 and 40072.

LCM(40054,40072) = 2³ × 7¹ × 2861¹ × 5009¹
LCM(40054,40072) = 802521944