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What is the Least Common Multiple of 1452 and 1461?

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 1452 and 1461 is 707124.

LCM(1452,1461) = 707124

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Least Common Multiple of 1452 and 1461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1452 and 1461, than apply into the LCM equation.

GCF(1452,1461) = 3
LCM(1452,1461) = ( 1452 × 1461) / 3
LCM(1452,1461) = 2121372 / 3
LCM(1452,1461) = 707124

Least Common Multiple (LCM) of 1452 and 1461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1452 and 1461. First we will calculate the prime factors of 1452 and 1461.

Prime Factorization of 1452

Prime factors of 1452 are 2, 3, 11. Prime factorization of 1452 in exponential form is:

1452 = 22 × 31 × 112

Prime Factorization of 1461

Prime factors of 1461 are 3, 487. Prime factorization of 1461 in exponential form is:

1461 = 31 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 1452 and 1461.

LCM(1452,1461) = 22 × 31 × 112 × 4871
LCM(1452,1461) = 707124