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What is the Least Common Multiple of 60052 and 60061?

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 60052 and 60061 is 3606783172.

LCM(60052,60061) = 3606783172

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Least Common Multiple of 60052 and 60061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60052 and 60061, than apply into the LCM equation.

GCF(60052,60061) = 1
LCM(60052,60061) = ( 60052 × 60061) / 1
LCM(60052,60061) = 3606783172 / 1
LCM(60052,60061) = 3606783172

Least Common Multiple (LCM) of 60052 and 60061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60052 and 60061. First we will calculate the prime factors of 60052 and 60061.

Prime Factorization of 60052

Prime factors of 60052 are 2, 15013. Prime factorization of 60052 in exponential form is:

60052 = 22 × 150131

Prime Factorization of 60061

Prime factors of 60061 are 17, 3533. Prime factorization of 60061 in exponential form is:

60061 = 171 × 35331

Now multiplying the highest exponent prime factors to calculate the LCM of 60052 and 60061.

LCM(60052,60061) = 22 × 150131 × 171 × 35331
LCM(60052,60061) = 3606783172