What is the Least Common Multiple of 62727 and 62746?
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 62727 and 62746 is 3935868342.
LCM(62727,62746) = 3935868342
Least Common Multiple of 62727 and 62746 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62727 and 62746, than apply into the LCM equation.
GCF(62727,62746) = 1
LCM(62727,62746) = ( 62727 × 62746) / 1
LCM(62727,62746) = 3935868342 / 1
LCM(62727,62746) = 3935868342
Least Common Multiple (LCM) of 62727 and 62746 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62727 and 62746. First we will calculate the prime factors of 62727 and 62746.
Prime Factorization of 62727
Prime factors of 62727 are 3, 7, 29, 103. Prime factorization of 62727 in exponential form is:
62727 = 31 × 71 × 291 × 1031
Prime Factorization of 62746
Prime factors of 62746 are 2, 137, 229. Prime factorization of 62746 in exponential form is:
62746 = 21 × 1371 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 62727 and 62746.
LCM(62727,62746) = 31 × 71 × 291 × 1031 × 21 × 1371 × 2291
LCM(62727,62746) = 3935868342
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