What is the Least Common Multiple of 94230 and 94237?
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 94230 and 94237 is 8879952510.
LCM(94230,94237) = 8879952510
Least Common Multiple of 94230 and 94237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94230 and 94237, than apply into the LCM equation.
GCF(94230,94237) = 1
LCM(94230,94237) = ( 94230 × 94237) / 1
LCM(94230,94237) = 8879952510 / 1
LCM(94230,94237) = 8879952510
Least Common Multiple (LCM) of 94230 and 94237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94230 and 94237. First we will calculate the prime factors of 94230 and 94237.
Prime Factorization of 94230
Prime factors of 94230 are 2, 3, 5, 349. Prime factorization of 94230 in exponential form is:
94230 = 21 × 33 × 51 × 3491
Prime Factorization of 94237
Prime factors of 94237 are 11, 13, 659. Prime factorization of 94237 in exponential form is:
94237 = 111 × 131 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 94230 and 94237.
LCM(94230,94237) = 21 × 33 × 51 × 3491 × 111 × 131 × 6591
LCM(94230,94237) = 8879952510
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