What is the Least Common Multiple of 62156 and 62161?
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 62156 and 62161 is 3863679116.
LCM(62156,62161) = 3863679116
Least Common Multiple of 62156 and 62161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62156 and 62161, than apply into the LCM equation.
GCF(62156,62161) = 1
LCM(62156,62161) = ( 62156 × 62161) / 1
LCM(62156,62161) = 3863679116 / 1
LCM(62156,62161) = 3863679116
Least Common Multiple (LCM) of 62156 and 62161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62156 and 62161. First we will calculate the prime factors of 62156 and 62161.
Prime Factorization of 62156
Prime factors of 62156 are 2, 41, 379. Prime factorization of 62156 in exponential form is:
62156 = 22 × 411 × 3791
Prime Factorization of 62161
Prime factors of 62161 are 11, 5651. Prime factorization of 62161 in exponential form is:
62161 = 111 × 56511
Now multiplying the highest exponent prime factors to calculate the LCM of 62156 and 62161.
LCM(62156,62161) = 22 × 411 × 3791 × 111 × 56511
LCM(62156,62161) = 3863679116
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