What is the Least Common Multiple of 76970 and 76986?

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 76970 and 76986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76970 and 76986, than apply into the LCM equation.

GCF(76970,76986) = 2
LCM(76970,76986) = ( 76970 × 76986) / 2
LCM(76970,76986) = 5925612420 / 2
LCM(76970,76986) = 2962806210

Least Common Multiple (LCM) of 76970 and 76986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76970 and 76986. First we will calculate the prime factors of 76970 and 76986.

Prime Factorization of 76970

Prime Factorization of 76986

Now multiplying the highest exponent prime factors to calculate the LCM of 76970 and 76986.

LCM(76970,76986) = 2¹ × 5¹ × 43¹ × 179¹ × 3² × 7¹ × 13¹ × 47¹
LCM(76970,76986) = 2962806210