What is the Least Common Multiple of 40971 and 40984?

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 40971 and 40984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40971 and 40984, than apply into the LCM equation.

GCF(40971,40984) = 1
LCM(40971,40984) = ( 40971 × 40984) / 1
LCM(40971,40984) = 1679155464 / 1
LCM(40971,40984) = 1679155464

Least Common Multiple (LCM) of 40971 and 40984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40971 and 40984. First we will calculate the prime factors of 40971 and 40984.

Prime Factorization of 40971

Prime Factorization of 40984

Now multiplying the highest exponent prime factors to calculate the LCM of 40971 and 40984.

LCM(40971,40984) = 3¹ × 7¹ × 1951¹ × 2³ × 47¹ × 109¹
LCM(40971,40984) = 1679155464