What is the Least Common Multiple of 62570 and 62579?
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 62570 and 62579 is 3915568030.
LCM(62570,62579) = 3915568030
Least Common Multiple of 62570 and 62579 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62570 and 62579, than apply into the LCM equation.
GCF(62570,62579) = 1
LCM(62570,62579) = ( 62570 × 62579) / 1
LCM(62570,62579) = 3915568030 / 1
LCM(62570,62579) = 3915568030
Least Common Multiple (LCM) of 62570 and 62579 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62570 and 62579. First we will calculate the prime factors of 62570 and 62579.
Prime Factorization of 62570
Prime factors of 62570 are 2, 5, 6257. Prime factorization of 62570 in exponential form is:
62570 = 21 × 51 × 62571
Prime Factorization of 62579
Prime factors of 62579 are 11, 5689. Prime factorization of 62579 in exponential form is:
62579 = 111 × 56891
Now multiplying the highest exponent prime factors to calculate the LCM of 62570 and 62579.
LCM(62570,62579) = 21 × 51 × 62571 × 111 × 56891
LCM(62570,62579) = 3915568030
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