What is the Least Common Multiple of 55960 and 55970?

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 55960 and 55970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55960 and 55970, than apply into the LCM equation.

GCF(55960,55970) = 10
LCM(55960,55970) = ( 55960 × 55970) / 10
LCM(55960,55970) = 3132081200 / 10
LCM(55960,55970) = 313208120

Least Common Multiple (LCM) of 55960 and 55970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55960 and 55970. First we will calculate the prime factors of 55960 and 55970.

Prime Factorization of 55960

Prime Factorization of 55970

Now multiplying the highest exponent prime factors to calculate the LCM of 55960 and 55970.

LCM(55960,55970) = 2³ × 5¹ × 1399¹ × 29¹ × 193¹
LCM(55960,55970) = 313208120