What is the Least Common Multiple of 94654 and 94667?
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 94654 and 94667 is 8960610218.
LCM(94654,94667) = 8960610218
Least Common Multiple of 94654 and 94667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94654 and 94667, than apply into the LCM equation.
GCF(94654,94667) = 1
LCM(94654,94667) = ( 94654 × 94667) / 1
LCM(94654,94667) = 8960610218 / 1
LCM(94654,94667) = 8960610218
Least Common Multiple (LCM) of 94654 and 94667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94654 and 94667. First we will calculate the prime factors of 94654 and 94667.
Prime Factorization of 94654
Prime factors of 94654 are 2, 7, 6761. Prime factorization of 94654 in exponential form is:
94654 = 21 × 71 × 67611
Prime Factorization of 94667
Prime factors of 94667 are 137, 691. Prime factorization of 94667 in exponential form is:
94667 = 1371 × 6911
Now multiplying the highest exponent prime factors to calculate the LCM of 94654 and 94667.
LCM(94654,94667) = 21 × 71 × 67611 × 1371 × 6911
LCM(94654,94667) = 8960610218
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