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What is the Least Common Multiple of 67376 and 67380?

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 (LCM) of 67376 and 67380 is 1134948720.

LCM(67376,67380) = 1134948720

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Least Common Multiple of 67376 and 67380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67376 and 67380, than apply into the LCM equation.

GCF(67376,67380) = 4
LCM(67376,67380) = ( 67376 × 67380) / 4
LCM(67376,67380) = 4539794880 / 4
LCM(67376,67380) = 1134948720

Least Common Multiple (LCM) of 67376 and 67380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67376 and 67380. First we will calculate the prime factors of 67376 and 67380.

Prime Factorization of 67376

Prime factors of 67376 are 2, 4211. Prime factorization of 67376 in exponential form is:

67376 = 24 × 42111

Prime Factorization of 67380

Prime factors of 67380 are 2, 3, 5, 1123. Prime factorization of 67380 in exponential form is:

67380 = 22 × 31 × 51 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 67376 and 67380.

LCM(67376,67380) = 24 × 42111 × 31 × 51 × 11231
LCM(67376,67380) = 1134948720