What is the Least Common Multiple of 13954 and 13972?

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 13954 and 13972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13954 and 13972, than apply into the LCM equation.

GCF(13954,13972) = 2
LCM(13954,13972) = ( 13954 × 13972) / 2
LCM(13954,13972) = 194965288 / 2
LCM(13954,13972) = 97482644

Least Common Multiple (LCM) of 13954 and 13972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13954 and 13972. First we will calculate the prime factors of 13954 and 13972.

Prime Factorization of 13954

Prime Factorization of 13972

Now multiplying the highest exponent prime factors to calculate the LCM of 13954 and 13972.

LCM(13954,13972) = 2² × 6977¹ × 7¹ × 499¹
LCM(13954,13972) = 97482644