What is the Least Common Multiple of 94910 and 94926?
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 94910 and 94926 is 4504713330.
LCM(94910,94926) = 4504713330
Least Common Multiple of 94910 and 94926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94910 and 94926, than apply into the LCM equation.
GCF(94910,94926) = 2
LCM(94910,94926) = ( 94910 × 94926) / 2
LCM(94910,94926) = 9009426660 / 2
LCM(94910,94926) = 4504713330
Least Common Multiple (LCM) of 94910 and 94926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94910 and 94926. First we will calculate the prime factors of 94910 and 94926.
Prime Factorization of 94910
Prime factors of 94910 are 2, 5, 9491. Prime factorization of 94910 in exponential form is:
94910 = 21 × 51 × 94911
Prime Factorization of 94926
Prime factors of 94926 are 2, 3, 13, 1217. Prime factorization of 94926 in exponential form is:
94926 = 21 × 31 × 131 × 12171
Now multiplying the highest exponent prime factors to calculate the LCM of 94910 and 94926.
LCM(94910,94926) = 21 × 51 × 94911 × 31 × 131 × 12171
LCM(94910,94926) = 4504713330
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