What is the Least Common Multiple of 76740 and 76752?

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 76740 and 76752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76740 and 76752, than apply into the LCM equation.

GCF(76740,76752) = 12
LCM(76740,76752) = ( 76740 × 76752) / 12
LCM(76740,76752) = 5889948480 / 12
LCM(76740,76752) = 490829040

Least Common Multiple (LCM) of 76740 and 76752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76740 and 76752. First we will calculate the prime factors of 76740 and 76752.

Prime Factorization of 76740

Prime Factorization of 76752

Now multiplying the highest exponent prime factors to calculate the LCM of 76740 and 76752.

LCM(76740,76752) = 2⁴ × 3² × 5¹ × 1279¹ × 13¹ × 41¹
LCM(76740,76752) = 490829040