What is the Least Common Multiple of 70978 and 70986?

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 70978 and 70986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70978 and 70986, than apply into the LCM equation.

GCF(70978,70986) = 2
LCM(70978,70986) = ( 70978 × 70986) / 2
LCM(70978,70986) = 5038444308 / 2
LCM(70978,70986) = 2519222154

Least Common Multiple (LCM) of 70978 and 70986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70978 and 70986. First we will calculate the prime factors of 70978 and 70986.

Prime Factorization of 70978

Prime Factorization of 70986

Now multiplying the highest exponent prime factors to calculate the LCM of 70978 and 70986.

LCM(70978,70986) = 2¹ × 23¹ × 1543¹ × 3¹ × 11831¹
LCM(70978,70986) = 2519222154