What is the Least Common Multiple of 62602 and 62612?
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 62602 and 62612 is 1959818212.
LCM(62602,62612) = 1959818212
Least Common Multiple of 62602 and 62612 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62602 and 62612, than apply into the LCM equation.
GCF(62602,62612) = 2
LCM(62602,62612) = ( 62602 × 62612) / 2
LCM(62602,62612) = 3919636424 / 2
LCM(62602,62612) = 1959818212
Least Common Multiple (LCM) of 62602 and 62612 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62602 and 62612. First we will calculate the prime factors of 62602 and 62612.
Prime Factorization of 62602
Prime factors of 62602 are 2, 113, 277. Prime factorization of 62602 in exponential form is:
62602 = 21 × 1131 × 2771
Prime Factorization of 62612
Prime factors of 62612 are 2, 11, 1423. Prime factorization of 62612 in exponential form is:
62612 = 22 × 111 × 14231
Now multiplying the highest exponent prime factors to calculate the LCM of 62602 and 62612.
LCM(62602,62612) = 22 × 1131 × 2771 × 111 × 14231
LCM(62602,62612) = 1959818212
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