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What is the Least Common Multiple of 64870 and 64885?

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 64870 and 64885 is 841817990.

LCM(64870,64885) = 841817990

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Least Common Multiple of 64870 and 64885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64870 and 64885, than apply into the LCM equation.

GCF(64870,64885) = 5
LCM(64870,64885) = ( 64870 × 64885) / 5
LCM(64870,64885) = 4209089950 / 5
LCM(64870,64885) = 841817990

Least Common Multiple (LCM) of 64870 and 64885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64870 and 64885. First we will calculate the prime factors of 64870 and 64885.

Prime Factorization of 64870

Prime factors of 64870 are 2, 5, 13, 499. Prime factorization of 64870 in exponential form is:

64870 = 21 × 51 × 131 × 4991

Prime Factorization of 64885

Prime factors of 64885 are 5, 19, 683. Prime factorization of 64885 in exponential form is:

64885 = 51 × 191 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 64870 and 64885.

LCM(64870,64885) = 21 × 51 × 131 × 4991 × 191 × 6831
LCM(64870,64885) = 841817990