What is the Least Common Multiple of 62177 and 62183?
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 62177 and 62183 is 3866352391.
LCM(62177,62183) = 3866352391
Least Common Multiple of 62177 and 62183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62177 and 62183, than apply into the LCM equation.
GCF(62177,62183) = 1
LCM(62177,62183) = ( 62177 × 62183) / 1
LCM(62177,62183) = 3866352391 / 1
LCM(62177,62183) = 3866352391
Least Common Multiple (LCM) of 62177 and 62183 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62177 and 62183. First we will calculate the prime factors of 62177 and 62183.
Prime Factorization of 62177
Prime factors of 62177 are 97, 641. Prime factorization of 62177 in exponential form is:
62177 = 971 × 6411
Prime Factorization of 62183
Prime factors of 62183 are 11, 5653. Prime factorization of 62183 in exponential form is:
62183 = 111 × 56531
Now multiplying the highest exponent prime factors to calculate the LCM of 62177 and 62183.
LCM(62177,62183) = 971 × 6411 × 111 × 56531
LCM(62177,62183) = 3866352391
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