What is the Least Common Multiple of 77360 and 77376?

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 77360 and 77376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77360 and 77376, than apply into the LCM equation.

GCF(77360,77376) = 16
LCM(77360,77376) = ( 77360 × 77376) / 16
LCM(77360,77376) = 5985807360 / 16
LCM(77360,77376) = 374112960

Least Common Multiple (LCM) of 77360 and 77376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77360 and 77376. First we will calculate the prime factors of 77360 and 77376.

Prime Factorization of 77360

Prime Factorization of 77376

Now multiplying the highest exponent prime factors to calculate the LCM of 77360 and 77376.

LCM(77360,77376) = 2⁶ × 5¹ × 967¹ × 3¹ × 13¹ × 31¹
LCM(77360,77376) = 374112960