What is the Least Common Multiple of 70635 and 70647?

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 70635 and 70647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70635 and 70647, than apply into the LCM equation.

GCF(70635,70647) = 3
LCM(70635,70647) = ( 70635 × 70647) / 3
LCM(70635,70647) = 4990150845 / 3
LCM(70635,70647) = 1663383615

Least Common Multiple (LCM) of 70635 and 70647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70635 and 70647. First we will calculate the prime factors of 70635 and 70647.

Prime Factorization of 70635

Prime Factorization of 70647

Now multiplying the highest exponent prime factors to calculate the LCM of 70635 and 70647.

LCM(70635,70647) = 3¹ × 5¹ × 17¹ × 277¹ × 23549¹
LCM(70635,70647) = 1663383615