What is the Least Common Multiple of 61960 and 61975?

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 61960 and 61975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61960 and 61975, than apply into the LCM equation.

GCF(61960,61975) = 5
LCM(61960,61975) = ( 61960 × 61975) / 5
LCM(61960,61975) = 3839971000 / 5
LCM(61960,61975) = 767994200

Least Common Multiple (LCM) of 61960 and 61975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61960 and 61975. First we will calculate the prime factors of 61960 and 61975.

Prime Factorization of 61960

Prime Factorization of 61975

Now multiplying the highest exponent prime factors to calculate the LCM of 61960 and 61975.

LCM(61960,61975) = 2³ × 5² × 1549¹ × 37¹ × 67¹
LCM(61960,61975) = 767994200