What is the Least Common Multiple of 40954 and 40972?

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 40954 and 40972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40954 and 40972, than apply into the LCM equation.

GCF(40954,40972) = 2
LCM(40954,40972) = ( 40954 × 40972) / 2
LCM(40954,40972) = 1677967288 / 2
LCM(40954,40972) = 838983644

Least Common Multiple (LCM) of 40954 and 40972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40954 and 40972. First we will calculate the prime factors of 40954 and 40972.

Prime Factorization of 40954

Prime Factorization of 40972

Now multiplying the highest exponent prime factors to calculate the LCM of 40954 and 40972.

LCM(40954,40972) = 2² × 20477¹ × 10243¹
LCM(40954,40972) = 838983644