What is the Least Common Multiple of 94692 and 94712?
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 94692 and 94712 is 2242117176.
LCM(94692,94712) = 2242117176
Least Common Multiple of 94692 and 94712 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94692 and 94712, than apply into the LCM equation.
GCF(94692,94712) = 4
LCM(94692,94712) = ( 94692 × 94712) / 4
LCM(94692,94712) = 8968468704 / 4
LCM(94692,94712) = 2242117176
Least Common Multiple (LCM) of 94692 and 94712 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94692 and 94712. First we will calculate the prime factors of 94692 and 94712.
Prime Factorization of 94692
Prime factors of 94692 are 2, 3, 13, 607. Prime factorization of 94692 in exponential form is:
94692 = 22 × 31 × 131 × 6071
Prime Factorization of 94712
Prime factors of 94712 are 2, 11839. Prime factorization of 94712 in exponential form is:
94712 = 23 × 118391
Now multiplying the highest exponent prime factors to calculate the LCM of 94692 and 94712.
LCM(94692,94712) = 23 × 31 × 131 × 6071 × 118391
LCM(94692,94712) = 2242117176
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