What is the Least Common Multiple of 62121 and 62126?
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 62121 and 62126 is 3859329246.
LCM(62121,62126) = 3859329246
Least Common Multiple of 62121 and 62126 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62121 and 62126, than apply into the LCM equation.
GCF(62121,62126) = 1
LCM(62121,62126) = ( 62121 × 62126) / 1
LCM(62121,62126) = 3859329246 / 1
LCM(62121,62126) = 3859329246
Least Common Multiple (LCM) of 62121 and 62126 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62121 and 62126. First we will calculate the prime factors of 62121 and 62126.
Prime Factorization of 62121
Prime factors of 62121 are 3, 20707. Prime factorization of 62121 in exponential form is:
62121 = 31 × 207071
Prime Factorization of 62126
Prime factors of 62126 are 2, 31063. Prime factorization of 62126 in exponential form is:
62126 = 21 × 310631
Now multiplying the highest exponent prime factors to calculate the LCM of 62121 and 62126.
LCM(62121,62126) = 31 × 207071 × 21 × 310631
LCM(62121,62126) = 3859329246
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