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What is the Least Common Multiple of 24052 and 24061?

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 24052 and 24061 is 578715172.

LCM(24052,24061) = 578715172

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Least Common Multiple of 24052 and 24061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24052 and 24061, than apply into the LCM equation.

GCF(24052,24061) = 1
LCM(24052,24061) = ( 24052 × 24061) / 1
LCM(24052,24061) = 578715172 / 1
LCM(24052,24061) = 578715172

Least Common Multiple (LCM) of 24052 and 24061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24052 and 24061. First we will calculate the prime factors of 24052 and 24061.

Prime Factorization of 24052

Prime factors of 24052 are 2, 7, 859. Prime factorization of 24052 in exponential form is:

24052 = 22 × 71 × 8591

Prime Factorization of 24061

Prime factors of 24061 are 24061. Prime factorization of 24061 in exponential form is:

24061 = 240611

Now multiplying the highest exponent prime factors to calculate the LCM of 24052 and 24061.

LCM(24052,24061) = 22 × 71 × 8591 × 240611
LCM(24052,24061) = 578715172