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What is the Least Common Multiple of 67455 and 67460?

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 67455 and 67460 is 910102860.

LCM(67455,67460) = 910102860

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Least Common Multiple of 67455 and 67460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67455 and 67460, than apply into the LCM equation.

GCF(67455,67460) = 5
LCM(67455,67460) = ( 67455 × 67460) / 5
LCM(67455,67460) = 4550514300 / 5
LCM(67455,67460) = 910102860

Least Common Multiple (LCM) of 67455 and 67460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67455 and 67460. First we will calculate the prime factors of 67455 and 67460.

Prime Factorization of 67455

Prime factors of 67455 are 3, 5, 1499. Prime factorization of 67455 in exponential form is:

67455 = 32 × 51 × 14991

Prime Factorization of 67460

Prime factors of 67460 are 2, 5, 3373. Prime factorization of 67460 in exponential form is:

67460 = 22 × 51 × 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 67455 and 67460.

LCM(67455,67460) = 32 × 51 × 14991 × 22 × 33731
LCM(67455,67460) = 910102860