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What is the Least Common Multiple of 67455 and 67472?

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 67472 is 4551323760.

LCM(67455,67472) = 4551323760

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Least Common Multiple of 67455 and 67472 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 67472, than apply into the LCM equation.

GCF(67455,67472) = 1
LCM(67455,67472) = ( 67455 × 67472) / 1
LCM(67455,67472) = 4551323760 / 1
LCM(67455,67472) = 4551323760

Least Common Multiple (LCM) of 67455 and 67472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67455 and 67472. First we will calculate the prime factors of 67455 and 67472.

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 67472

Prime factors of 67472 are 2, 4217. Prime factorization of 67472 in exponential form is:

67472 = 24 × 42171

Now multiplying the highest exponent prime factors to calculate the LCM of 67455 and 67472.

LCM(67455,67472) = 32 × 51 × 14991 × 24 × 42171
LCM(67455,67472) = 4551323760