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What is the Least Common Multiple of 60851 and 60870?

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 60851 and 60870 is 3704000370.

LCM(60851,60870) = 3704000370

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Least Common Multiple of 60851 and 60870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60851 and 60870, than apply into the LCM equation.

GCF(60851,60870) = 1
LCM(60851,60870) = ( 60851 × 60870) / 1
LCM(60851,60870) = 3704000370 / 1
LCM(60851,60870) = 3704000370

Least Common Multiple (LCM) of 60851 and 60870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60851 and 60870. First we will calculate the prime factors of 60851 and 60870.

Prime Factorization of 60851

Prime factors of 60851 are 7, 8693. Prime factorization of 60851 in exponential form is:

60851 = 71 × 86931

Prime Factorization of 60870

Prime factors of 60870 are 2, 3, 5, 2029. Prime factorization of 60870 in exponential form is:

60870 = 21 × 31 × 51 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 60851 and 60870.

LCM(60851,60870) = 71 × 86931 × 21 × 31 × 51 × 20291
LCM(60851,60870) = 3704000370