What is the Least Common Multiple of 70260 and 70275?

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 70260 and 70275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70260 and 70275, than apply into the LCM equation.

GCF(70260,70275) = 15
LCM(70260,70275) = ( 70260 × 70275) / 15
LCM(70260,70275) = 4937521500 / 15
LCM(70260,70275) = 329168100

Least Common Multiple (LCM) of 70260 and 70275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70260 and 70275. First we will calculate the prime factors of 70260 and 70275.

Prime Factorization of 70260

Prime Factorization of 70275

Now multiplying the highest exponent prime factors to calculate the LCM of 70260 and 70275.

LCM(70260,70275) = 2² × 3¹ × 5² × 1171¹ × 937¹
LCM(70260,70275) = 329168100