What is the Least Common Multiple of 76880 and 76892?

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 76880 and 76892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76880 and 76892, than apply into the LCM equation.

GCF(76880,76892) = 4
LCM(76880,76892) = ( 76880 × 76892) / 4
LCM(76880,76892) = 5911456960 / 4
LCM(76880,76892) = 1477864240

Least Common Multiple (LCM) of 76880 and 76892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76880 and 76892. First we will calculate the prime factors of 76880 and 76892.

Prime Factorization of 76880

Prime Factorization of 76892

Now multiplying the highest exponent prime factors to calculate the LCM of 76880 and 76892.

LCM(76880,76892) = 2⁴ × 5¹ × 31² × 47¹ × 409¹
LCM(76880,76892) = 1477864240