What is the Least Common Multiple of 76750 and 76758?

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 76750 and 76758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76750 and 76758, than apply into the LCM equation.

GCF(76750,76758) = 2
LCM(76750,76758) = ( 76750 × 76758) / 2
LCM(76750,76758) = 5891176500 / 2
LCM(76750,76758) = 2945588250

Least Common Multiple (LCM) of 76750 and 76758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76750 and 76758. First we will calculate the prime factors of 76750 and 76758.

Prime Factorization of 76750

Prime Factorization of 76758

Now multiplying the highest exponent prime factors to calculate the LCM of 76750 and 76758.

LCM(76750,76758) = 2¹ × 5³ × 307¹ × 3¹ × 11¹ × 1163¹
LCM(76750,76758) = 2945588250