What is the Least Common Multiple of 77250 and 77262?

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 77250 and 77262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77250 and 77262, than apply into the LCM equation.

GCF(77250,77262) = 6
LCM(77250,77262) = ( 77250 × 77262) / 6
LCM(77250,77262) = 5968489500 / 6
LCM(77250,77262) = 994748250

Least Common Multiple (LCM) of 77250 and 77262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77250 and 77262. First we will calculate the prime factors of 77250 and 77262.

Prime Factorization of 77250

Prime Factorization of 77262

Now multiplying the highest exponent prime factors to calculate the LCM of 77250 and 77262.

LCM(77250,77262) = 2¹ × 3¹ × 5³ × 103¹ × 79¹ × 163¹
LCM(77250,77262) = 994748250