What is the Least Common Multiple of 58954 and 58972?

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 58954 and 58972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58954 and 58972, than apply into the LCM equation.

GCF(58954,58972) = 2
LCM(58954,58972) = ( 58954 × 58972) / 2
LCM(58954,58972) = 3476635288 / 2
LCM(58954,58972) = 1738317644

Least Common Multiple (LCM) of 58954 and 58972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58954 and 58972. First we will calculate the prime factors of 58954 and 58972.

Prime Factorization of 58954

Prime Factorization of 58972

Now multiplying the highest exponent prime factors to calculate the LCM of 58954 and 58972.

LCM(58954,58972) = 2² × 7¹ × 4211¹ × 23¹ × 641¹
LCM(58954,58972) = 1738317644