What is the Least Common Multiple of 76554 and 76560?

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 76554 and 76560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76554 and 76560, than apply into the LCM equation.

GCF(76554,76560) = 6
LCM(76554,76560) = ( 76554 × 76560) / 6
LCM(76554,76560) = 5860974240 / 6
LCM(76554,76560) = 976829040

Least Common Multiple (LCM) of 76554 and 76560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76554 and 76560. First we will calculate the prime factors of 76554 and 76560.

Prime Factorization of 76554

Prime Factorization of 76560

Now multiplying the highest exponent prime factors to calculate the LCM of 76554 and 76560.

LCM(76554,76560) = 2⁴ × 3² × 4253¹ × 5¹ × 11¹ × 29¹
LCM(76554,76560) = 976829040