What is the Least Common Multiple of 77358 and 77373?

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 77358 and 77373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77358 and 77373, than apply into the LCM equation.

GCF(77358,77373) = 3
LCM(77358,77373) = ( 77358 × 77373) / 3
LCM(77358,77373) = 5985420534 / 3
LCM(77358,77373) = 1995140178

Least Common Multiple (LCM) of 77358 and 77373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77358 and 77373. First we will calculate the prime factors of 77358 and 77373.

Prime Factorization of 77358

Prime Factorization of 77373

Now multiplying the highest exponent prime factors to calculate the LCM of 77358 and 77373.

LCM(77358,77373) = 2¹ × 3² × 12893¹ × 8597¹
LCM(77358,77373) = 1995140178