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What is the Least Common Multiple of 53054 and 53074?

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 53054 and 53074 is 1407893998.

LCM(53054,53074) = 1407893998

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Least Common Multiple of 53054 and 53074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53054 and 53074, than apply into the LCM equation.

GCF(53054,53074) = 2
LCM(53054,53074) = ( 53054 × 53074) / 2
LCM(53054,53074) = 2815787996 / 2
LCM(53054,53074) = 1407893998

Least Common Multiple (LCM) of 53054 and 53074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53054 and 53074. First we will calculate the prime factors of 53054 and 53074.

Prime Factorization of 53054

Prime factors of 53054 are 2, 41, 647. Prime factorization of 53054 in exponential form is:

53054 = 21 × 411 × 6471

Prime Factorization of 53074

Prime factors of 53074 are 2, 7, 17, 223. Prime factorization of 53074 in exponential form is:

53074 = 21 × 71 × 171 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 53054 and 53074.

LCM(53054,53074) = 21 × 411 × 6471 × 71 × 171 × 2231
LCM(53054,53074) = 1407893998