What is the Least Common Multiple of 76764 and 76778?

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 76764 and 76778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76764 and 76778, than apply into the LCM equation.

GCF(76764,76778) = 2
LCM(76764,76778) = ( 76764 × 76778) / 2
LCM(76764,76778) = 5893786392 / 2
LCM(76764,76778) = 2946893196

Least Common Multiple (LCM) of 76764 and 76778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76764 and 76778. First we will calculate the prime factors of 76764 and 76778.

Prime Factorization of 76764

Prime Factorization of 76778

Now multiplying the highest exponent prime factors to calculate the LCM of 76764 and 76778.

LCM(76764,76778) = 2² × 3¹ × 6397¹ × 13¹ × 2953¹
LCM(76764,76778) = 2946893196