What is the Least Common Multiple of 60070 and 60075?

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 60070 and 60075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60070 and 60075, than apply into the LCM equation.

GCF(60070,60075) = 5
LCM(60070,60075) = ( 60070 × 60075) / 5
LCM(60070,60075) = 3608705250 / 5
LCM(60070,60075) = 721741050

Least Common Multiple (LCM) of 60070 and 60075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60070 and 60075. First we will calculate the prime factors of 60070 and 60075.

Prime Factorization of 60070

Prime Factorization of 60075

Now multiplying the highest exponent prime factors to calculate the LCM of 60070 and 60075.

LCM(60070,60075) = 2¹ × 5² × 6007¹ × 3³ × 89¹
LCM(60070,60075) = 721741050