What is the Least Common Multiple of 70665 and 70674?

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 70665 and 70674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70665 and 70674, than apply into the LCM equation.

GCF(70665,70674) = 3
LCM(70665,70674) = ( 70665 × 70674) / 3
LCM(70665,70674) = 4994178210 / 3
LCM(70665,70674) = 1664726070

Least Common Multiple (LCM) of 70665 and 70674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70665 and 70674. First we will calculate the prime factors of 70665 and 70674.

Prime Factorization of 70665

Prime Factorization of 70674

Now multiplying the highest exponent prime factors to calculate the LCM of 70665 and 70674.

LCM(70665,70674) = 3¹ × 5¹ × 7¹ × 673¹ × 2¹ × 11779¹
LCM(70665,70674) = 1664726070