What is the Least Common Multiple of 76965 and 76970?

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 76965 and 76970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76965 and 76970, than apply into the LCM equation.

GCF(76965,76970) = 5
LCM(76965,76970) = ( 76965 × 76970) / 5
LCM(76965,76970) = 5923996050 / 5
LCM(76965,76970) = 1184799210

Least Common Multiple (LCM) of 76965 and 76970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76965 and 76970. First we will calculate the prime factors of 76965 and 76970.

Prime Factorization of 76965

Prime Factorization of 76970

Now multiplying the highest exponent prime factors to calculate the LCM of 76965 and 76970.

LCM(76965,76970) = 3¹ × 5¹ × 7¹ × 733¹ × 2¹ × 43¹ × 179¹
LCM(76965,76970) = 1184799210