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What is the Least Common Multiple of 94090 and 94110?

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 94090 and 94110 is 885480990.

LCM(94090,94110) = 885480990

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Least Common Multiple of 94090 and 94110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94090 and 94110, than apply into the LCM equation.

GCF(94090,94110) = 10
LCM(94090,94110) = ( 94090 × 94110) / 10
LCM(94090,94110) = 8854809900 / 10
LCM(94090,94110) = 885480990

Least Common Multiple (LCM) of 94090 and 94110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94090 and 94110. First we will calculate the prime factors of 94090 and 94110.

Prime Factorization of 94090

Prime factors of 94090 are 2, 5, 97. Prime factorization of 94090 in exponential form is:

94090 = 21 × 51 × 972

Prime Factorization of 94110

Prime factors of 94110 are 2, 3, 5, 3137. Prime factorization of 94110 in exponential form is:

94110 = 21 × 31 × 51 × 31371

Now multiplying the highest exponent prime factors to calculate the LCM of 94090 and 94110.

LCM(94090,94110) = 21 × 51 × 972 × 31 × 31371
LCM(94090,94110) = 885480990