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What is the Least Common Multiple of 7015 and 7021?

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 7015 and 7021 is 49252315.

LCM(7015,7021) = 49252315

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Least Common Multiple of 7015 and 7021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7015 and 7021, than apply into the LCM equation.

GCF(7015,7021) = 1
LCM(7015,7021) = ( 7015 × 7021) / 1
LCM(7015,7021) = 49252315 / 1
LCM(7015,7021) = 49252315

Least Common Multiple (LCM) of 7015 and 7021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7015 and 7021. First we will calculate the prime factors of 7015 and 7021.

Prime Factorization of 7015

Prime factors of 7015 are 5, 23, 61. Prime factorization of 7015 in exponential form is:

7015 = 51 × 231 × 611

Prime Factorization of 7021

Prime factors of 7021 are 7, 17, 59. Prime factorization of 7021 in exponential form is:

7021 = 71 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 7015 and 7021.

LCM(7015,7021) = 51 × 231 × 611 × 71 × 171 × 591
LCM(7015,7021) = 49252315