What is the Least Common Multiple of 94370 and 94375?
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 94370 and 94375 is 1781233750.
LCM(94370,94375) = 1781233750
Least Common Multiple of 94370 and 94375 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94370 and 94375, than apply into the LCM equation.
GCF(94370,94375) = 5
LCM(94370,94375) = ( 94370 × 94375) / 5
LCM(94370,94375) = 8906168750 / 5
LCM(94370,94375) = 1781233750
Least Common Multiple (LCM) of 94370 and 94375 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94370 and 94375. First we will calculate the prime factors of 94370 and 94375.
Prime Factorization of 94370
Prime factors of 94370 are 2, 5, 9437. Prime factorization of 94370 in exponential form is:
94370 = 21 × 51 × 94371
Prime Factorization of 94375
Prime factors of 94375 are 5, 151. Prime factorization of 94375 in exponential form is:
94375 = 54 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 94370 and 94375.
LCM(94370,94375) = 21 × 54 × 94371 × 1511
LCM(94370,94375) = 1781233750
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