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What is the Least Common Multiple of 95052 and 95071?

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 95052 and 95071 is 9036688692.

LCM(95052,95071) = 9036688692

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Least Common Multiple of 95052 and 95071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95052 and 95071, than apply into the LCM equation.

GCF(95052,95071) = 1
LCM(95052,95071) = ( 95052 × 95071) / 1
LCM(95052,95071) = 9036688692 / 1
LCM(95052,95071) = 9036688692

Least Common Multiple (LCM) of 95052 and 95071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95052 and 95071. First we will calculate the prime factors of 95052 and 95071.

Prime Factorization of 95052

Prime factors of 95052 are 2, 3, 89. Prime factorization of 95052 in exponential form is:

95052 = 22 × 31 × 892

Prime Factorization of 95071

Prime factors of 95071 are 95071. Prime factorization of 95071 in exponential form is:

95071 = 950711

Now multiplying the highest exponent prime factors to calculate the LCM of 95052 and 95071.

LCM(95052,95071) = 22 × 31 × 892 × 950711
LCM(95052,95071) = 9036688692