What is the Least Common Multiple of 77354 and 77360?

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 77354 and 77360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77354 and 77360, than apply into the LCM equation.

GCF(77354,77360) = 2
LCM(77354,77360) = ( 77354 × 77360) / 2
LCM(77354,77360) = 5984105440 / 2
LCM(77354,77360) = 2992052720

Least Common Multiple (LCM) of 77354 and 77360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77354 and 77360. First we will calculate the prime factors of 77354 and 77360.

Prime Factorization of 77354

Prime Factorization of 77360

Now multiplying the highest exponent prime factors to calculate the LCM of 77354 and 77360.

LCM(77354,77360) = 2⁴ × 38677¹ × 5¹ × 967¹
LCM(77354,77360) = 2992052720