What is the Least Common Multiple of 74960 and 74970?

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 74960 and 74970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74960 and 74970, than apply into the LCM equation.

GCF(74960,74970) = 10
LCM(74960,74970) = ( 74960 × 74970) / 10
LCM(74960,74970) = 5619751200 / 10
LCM(74960,74970) = 561975120

Least Common Multiple (LCM) of 74960 and 74970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74960 and 74970. First we will calculate the prime factors of 74960 and 74970.

Prime Factorization of 74960

Prime Factorization of 74970

Now multiplying the highest exponent prime factors to calculate the LCM of 74960 and 74970.

LCM(74960,74970) = 2⁴ × 5¹ × 937¹ × 3² × 7² × 17¹
LCM(74960,74970) = 561975120