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What is the Least Common Multiple of 94052 and 94070?

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 94052 and 94070 is 4423735820.

LCM(94052,94070) = 4423735820

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Least Common Multiple of 94052 and 94070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94052 and 94070, than apply into the LCM equation.

GCF(94052,94070) = 2
LCM(94052,94070) = ( 94052 × 94070) / 2
LCM(94052,94070) = 8847471640 / 2
LCM(94052,94070) = 4423735820

Least Common Multiple (LCM) of 94052 and 94070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94052 and 94070. First we will calculate the prime factors of 94052 and 94070.

Prime Factorization of 94052

Prime factors of 94052 are 2, 7, 3359. Prime factorization of 94052 in exponential form is:

94052 = 22 × 71 × 33591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 94052 and 94070.

LCM(94052,94070) = 22 × 71 × 33591 × 51 × 231 × 4091
LCM(94052,94070) = 4423735820