What is the Least Common Multiple of 70674 and 70682?

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 70674 and 70682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70674 and 70682, than apply into the LCM equation.

GCF(70674,70682) = 2
LCM(70674,70682) = ( 70674 × 70682) / 2
LCM(70674,70682) = 4995379668 / 2
LCM(70674,70682) = 2497689834

Least Common Multiple (LCM) of 70674 and 70682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70674 and 70682. First we will calculate the prime factors of 70674 and 70682.

Prime Factorization of 70674

Prime Factorization of 70682

Now multiplying the highest exponent prime factors to calculate the LCM of 70674 and 70682.

LCM(70674,70682) = 2¹ × 3¹ × 11779¹ × 59¹ × 599¹
LCM(70674,70682) = 2497689834