What is the Least Common Multiple of 94037 and 94044?
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 94037 and 94044 is 8843615628.
LCM(94037,94044) = 8843615628
Least Common Multiple of 94037 and 94044 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94037 and 94044, than apply into the LCM equation.
GCF(94037,94044) = 1
LCM(94037,94044) = ( 94037 × 94044) / 1
LCM(94037,94044) = 8843615628 / 1
LCM(94037,94044) = 8843615628
Least Common Multiple (LCM) of 94037 and 94044 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94037 and 94044. First we will calculate the prime factors of 94037 and 94044.
Prime Factorization of 94037
Prime factors of 94037 are 271, 347. Prime factorization of 94037 in exponential form is:
94037 = 2711 × 3471
Prime Factorization of 94044
Prime factors of 94044 are 2, 3, 17, 461. Prime factorization of 94044 in exponential form is:
94044 = 22 × 31 × 171 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 94037 and 94044.
LCM(94037,94044) = 2711 × 3471 × 22 × 31 × 171 × 4611
LCM(94037,94044) = 8843615628
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