What is the Least Common Multiple of 94700 and 94705?
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 94700 and 94705 is 1793712700.
LCM(94700,94705) = 1793712700
Least Common Multiple of 94700 and 94705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94700 and 94705, than apply into the LCM equation.
GCF(94700,94705) = 5
LCM(94700,94705) = ( 94700 × 94705) / 5
LCM(94700,94705) = 8968563500 / 5
LCM(94700,94705) = 1793712700
Least Common Multiple (LCM) of 94700 and 94705 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94700 and 94705. First we will calculate the prime factors of 94700 and 94705.
Prime Factorization of 94700
Prime factors of 94700 are 2, 5, 947. Prime factorization of 94700 in exponential form is:
94700 = 22 × 52 × 9471
Prime Factorization of 94705
Prime factors of 94705 are 5, 13, 31, 47. Prime factorization of 94705 in exponential form is:
94705 = 51 × 131 × 311 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 94700 and 94705.
LCM(94700,94705) = 22 × 52 × 9471 × 131 × 311 × 471
LCM(94700,94705) = 1793712700
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