What is the Least Common Multiple of 94370 and 94386?
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 94386 is 4453603410.
LCM(94370,94386) = 4453603410
Least Common Multiple of 94370 and 94386 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 94386, than apply into the LCM equation.
GCF(94370,94386) = 2
LCM(94370,94386) = ( 94370 × 94386) / 2
LCM(94370,94386) = 8907206820 / 2
LCM(94370,94386) = 4453603410
Least Common Multiple (LCM) of 94370 and 94386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94370 and 94386. First we will calculate the prime factors of 94370 and 94386.
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 94386
Prime factors of 94386 are 2, 3, 15731. Prime factorization of 94386 in exponential form is:
94386 = 21 × 31 × 157311
Now multiplying the highest exponent prime factors to calculate the LCM of 94370 and 94386.
LCM(94370,94386) = 21 × 51 × 94371 × 31 × 157311
LCM(94370,94386) = 4453603410
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