What is the Least Common Multiple of 94021 and 94037?
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 94021 and 94037 is 8841452777.
LCM(94021,94037) = 8841452777
Least Common Multiple of 94021 and 94037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94021 and 94037, than apply into the LCM equation.
GCF(94021,94037) = 1
LCM(94021,94037) = ( 94021 × 94037) / 1
LCM(94021,94037) = 8841452777 / 1
LCM(94021,94037) = 8841452777
Least Common Multiple (LCM) of 94021 and 94037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94021 and 94037. First we will calculate the prime factors of 94021 and 94037.
Prime Factorization of 94021
Prime factors of 94021 are 167, 563. Prime factorization of 94021 in exponential form is:
94021 = 1671 × 5631
Prime Factorization of 94037
Prime factors of 94037 are 271, 347. Prime factorization of 94037 in exponential form is:
94037 = 2711 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 94021 and 94037.
LCM(94021,94037) = 1671 × 5631 × 2711 × 3471
LCM(94021,94037) = 8841452777
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