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What is the Least Common Multiple of 7870 and 7874?

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 7870 and 7874 is 30984190.

LCM(7870,7874) = 30984190

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Least Common Multiple of 7870 and 7874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7870 and 7874, than apply into the LCM equation.

GCF(7870,7874) = 2
LCM(7870,7874) = ( 7870 × 7874) / 2
LCM(7870,7874) = 61968380 / 2
LCM(7870,7874) = 30984190

Least Common Multiple (LCM) of 7870 and 7874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7870 and 7874. First we will calculate the prime factors of 7870 and 7874.

Prime Factorization of 7870

Prime factors of 7870 are 2, 5, 787. Prime factorization of 7870 in exponential form is:

7870 = 21 × 51 × 7871

Prime Factorization of 7874

Prime factors of 7874 are 2, 31, 127. Prime factorization of 7874 in exponential form is:

7874 = 21 × 311 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7870 and 7874.

LCM(7870,7874) = 21 × 51 × 7871 × 311 × 1271
LCM(7870,7874) = 30984190