What is the Least Common Multiple of 77320 and 77334?

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 77320 and 77334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77320 and 77334, than apply into the LCM equation.

GCF(77320,77334) = 2
LCM(77320,77334) = ( 77320 × 77334) / 2
LCM(77320,77334) = 5979464880 / 2
LCM(77320,77334) = 2989732440

Least Common Multiple (LCM) of 77320 and 77334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77320 and 77334. First we will calculate the prime factors of 77320 and 77334.

Prime Factorization of 77320

Prime Factorization of 77334

Now multiplying the highest exponent prime factors to calculate the LCM of 77320 and 77334.

LCM(77320,77334) = 2³ × 5¹ × 1933¹ × 3¹ × 12889¹
LCM(77320,77334) = 2989732440