What is the Least Common Multiple of 76970 and 76975?

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 76975 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 76975, than apply into the LCM equation.

GCF(76970,76975) = 5
LCM(76970,76975) = ( 76970 × 76975) / 5
LCM(76970,76975) = 5924765750 / 5
LCM(76970,76975) = 1184953150

Least Common Multiple (LCM) of 76970 and 76975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76970 and 76975. First we will calculate the prime factors of 76970 and 76975.

Prime Factorization of 76970

Prime Factorization of 76975

Now multiplying the highest exponent prime factors to calculate the LCM of 76970 and 76975.

LCM(76970,76975) = 2¹ × 5² × 43¹ × 179¹ × 3079¹
LCM(76970,76975) = 1184953150