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What is the Least Common Multiple of 94070 and 94085?

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 94070 and 94085 is 1770115190.

LCM(94070,94085) = 1770115190

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Least Common Multiple of 94070 and 94085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94070 and 94085, than apply into the LCM equation.

GCF(94070,94085) = 5
LCM(94070,94085) = ( 94070 × 94085) / 5
LCM(94070,94085) = 8850575950 / 5
LCM(94070,94085) = 1770115190

Least Common Multiple (LCM) of 94070 and 94085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94070 and 94085. First we will calculate the prime factors of 94070 and 94085.

Prime Factorization of 94070

Prime factors of 94070 are 2, 5, 23, 409. Prime factorization of 94070 in exponential form is:

94070 = 21 × 51 × 231 × 4091

Prime Factorization of 94085

Prime factors of 94085 are 5, 31, 607. Prime factorization of 94085 in exponential form is:

94085 = 51 × 311 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 94070 and 94085.

LCM(94070,94085) = 21 × 51 × 231 × 4091 × 311 × 6071
LCM(94070,94085) = 1770115190