What is the Least Common Multiple of 94162 and 94175?
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 94162 and 94175 is 8867706350.
LCM(94162,94175) = 8867706350
Least Common Multiple of 94162 and 94175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94162 and 94175, than apply into the LCM equation.
GCF(94162,94175) = 1
LCM(94162,94175) = ( 94162 × 94175) / 1
LCM(94162,94175) = 8867706350 / 1
LCM(94162,94175) = 8867706350
Least Common Multiple (LCM) of 94162 and 94175 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94162 and 94175. First we will calculate the prime factors of 94162 and 94175.
Prime Factorization of 94162
Prime factors of 94162 are 2, 23, 89. Prime factorization of 94162 in exponential form is:
94162 = 21 × 232 × 891
Prime Factorization of 94175
Prime factors of 94175 are 5, 3767. Prime factorization of 94175 in exponential form is:
94175 = 52 × 37671
Now multiplying the highest exponent prime factors to calculate the LCM of 94162 and 94175.
LCM(94162,94175) = 21 × 232 × 891 × 52 × 37671
LCM(94162,94175) = 8867706350
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