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What is the Least Common Multiple of 7874 and 7885?

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 7874 and 7885 is 62086490.

LCM(7874,7885) = 62086490

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Least Common Multiple of 7874 and 7885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7874 and 7885, than apply into the LCM equation.

GCF(7874,7885) = 1
LCM(7874,7885) = ( 7874 × 7885) / 1
LCM(7874,7885) = 62086490 / 1
LCM(7874,7885) = 62086490

Least Common Multiple (LCM) of 7874 and 7885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7874 and 7885. First we will calculate the prime factors of 7874 and 7885.

Prime Factorization of 7874

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

7874 = 21 × 311 × 1271

Prime Factorization of 7885

Prime factors of 7885 are 5, 19, 83. Prime factorization of 7885 in exponential form is:

7885 = 51 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 7874 and 7885.

LCM(7874,7885) = 21 × 311 × 1271 × 51 × 191 × 831
LCM(7874,7885) = 62086490