What is the Least Common Multiple of 76250 and 76258?

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 76250 and 76258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76250 and 76258, than apply into the LCM equation.

GCF(76250,76258) = 2
LCM(76250,76258) = ( 76250 × 76258) / 2
LCM(76250,76258) = 5814672500 / 2
LCM(76250,76258) = 2907336250

Least Common Multiple (LCM) of 76250 and 76258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76250 and 76258. First we will calculate the prime factors of 76250 and 76258.

Prime Factorization of 76250

Prime Factorization of 76258

Now multiplying the highest exponent prime factors to calculate the LCM of 76250 and 76258.

LCM(76250,76258) = 2¹ × 5⁴ × 61¹ × 7¹ × 13¹ × 419¹
LCM(76250,76258) = 2907336250