What is the Least Common Multiple of 3952 and 3971?

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 3952 and 3971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3952 and 3971, than apply into the LCM equation.

GCF(3952,3971) = 19
LCM(3952,3971) = ( 3952 × 3971) / 19
LCM(3952,3971) = 15693392 / 19
LCM(3952,3971) = 825968

Least Common Multiple (LCM) of 3952 and 3971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3952 and 3971. First we will calculate the prime factors of 3952 and 3971.

Prime Factorization of 3952

Prime Factorization of 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 3952 and 3971.

LCM(3952,3971) = 2⁴ × 13¹ × 19² × 11¹
LCM(3952,3971) = 825968