What is the Least Common Multiple of 61368 and 61376?

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 61368 and 61376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61368 and 61376, than apply into the LCM equation.

GCF(61368,61376) = 8
LCM(61368,61376) = ( 61368 × 61376) / 8
LCM(61368,61376) = 3766522368 / 8
LCM(61368,61376) = 470815296

Least Common Multiple (LCM) of 61368 and 61376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61368 and 61376. First we will calculate the prime factors of 61368 and 61376.

Prime Factorization of 61368

Prime Factorization of 61376

Now multiplying the highest exponent prime factors to calculate the LCM of 61368 and 61376.

LCM(61368,61376) = 2⁶ × 3¹ × 2557¹ × 7¹ × 137¹
LCM(61368,61376) = 470815296