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What is the Least Common Multiple of 80048 and 80061?

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 80048 and 80061 is 6408722928.

LCM(80048,80061) = 6408722928

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Least Common Multiple of 80048 and 80061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80048 and 80061, than apply into the LCM equation.

GCF(80048,80061) = 1
LCM(80048,80061) = ( 80048 × 80061) / 1
LCM(80048,80061) = 6408722928 / 1
LCM(80048,80061) = 6408722928

Least Common Multiple (LCM) of 80048 and 80061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80048 and 80061. First we will calculate the prime factors of 80048 and 80061.

Prime Factorization of 80048

Prime factors of 80048 are 2, 5003. Prime factorization of 80048 in exponential form is:

80048 = 24 × 50031

Prime Factorization of 80061

Prime factors of 80061 are 3, 26687. Prime factorization of 80061 in exponential form is:

80061 = 31 × 266871

Now multiplying the highest exponent prime factors to calculate the LCM of 80048 and 80061.

LCM(80048,80061) = 24 × 50031 × 31 × 266871
LCM(80048,80061) = 6408722928