What is the Least Common Multiple of 62172 and 62177?
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 62172 and 62177 is 3865668444.
LCM(62172,62177) = 3865668444
Least Common Multiple of 62172 and 62177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62172 and 62177, than apply into the LCM equation.
GCF(62172,62177) = 1
LCM(62172,62177) = ( 62172 × 62177) / 1
LCM(62172,62177) = 3865668444 / 1
LCM(62172,62177) = 3865668444
Least Common Multiple (LCM) of 62172 and 62177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62172 and 62177. First we will calculate the prime factors of 62172 and 62177.
Prime Factorization of 62172
Prime factors of 62172 are 2, 3, 11, 157. Prime factorization of 62172 in exponential form is:
62172 = 22 × 32 × 111 × 1571
Prime Factorization of 62177
Prime factors of 62177 are 97, 641. Prime factorization of 62177 in exponential form is:
62177 = 971 × 6411
Now multiplying the highest exponent prime factors to calculate the LCM of 62172 and 62177.
LCM(62172,62177) = 22 × 32 × 111 × 1571 × 971 × 6411
LCM(62172,62177) = 3865668444
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