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What is the Least Common Multiple of 28070 and 28085?

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 28070 and 28085 is 157669190.

LCM(28070,28085) = 157669190

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Least Common Multiple of 28070 and 28085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28070 and 28085, than apply into the LCM equation.

GCF(28070,28085) = 5
LCM(28070,28085) = ( 28070 × 28085) / 5
LCM(28070,28085) = 788345950 / 5
LCM(28070,28085) = 157669190

Least Common Multiple (LCM) of 28070 and 28085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28070 and 28085. First we will calculate the prime factors of 28070 and 28085.

Prime Factorization of 28070

Prime factors of 28070 are 2, 5, 7, 401. Prime factorization of 28070 in exponential form is:

28070 = 21 × 51 × 71 × 4011

Prime Factorization of 28085

Prime factors of 28085 are 5, 41, 137. Prime factorization of 28085 in exponential form is:

28085 = 51 × 411 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 28070 and 28085.

LCM(28070,28085) = 21 × 51 × 71 × 4011 × 411 × 1371
LCM(28070,28085) = 157669190