What is the Least Common Multiple of 77745 and 77750?

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 77745 and 77750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77745 and 77750, than apply into the LCM equation.

GCF(77745,77750) = 5
LCM(77745,77750) = ( 77745 × 77750) / 5
LCM(77745,77750) = 6044673750 / 5
LCM(77745,77750) = 1208934750

Least Common Multiple (LCM) of 77745 and 77750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77745 and 77750. First we will calculate the prime factors of 77745 and 77750.

Prime Factorization of 77745

Prime Factorization of 77750

Now multiplying the highest exponent prime factors to calculate the LCM of 77745 and 77750.

LCM(77745,77750) = 3¹ × 5³ × 71¹ × 73¹ × 2¹ × 311¹
LCM(77745,77750) = 1208934750