What is the Least Common Multiple of 94220 and 94230?
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 94220 and 94230 is 887835060.
LCM(94220,94230) = 887835060
Least Common Multiple of 94220 and 94230 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94220 and 94230, than apply into the LCM equation.
GCF(94220,94230) = 10
LCM(94220,94230) = ( 94220 × 94230) / 10
LCM(94220,94230) = 8878350600 / 10
LCM(94220,94230) = 887835060
Least Common Multiple (LCM) of 94220 and 94230 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94220 and 94230. First we will calculate the prime factors of 94220 and 94230.
Prime Factorization of 94220
Prime factors of 94220 are 2, 5, 7, 673. Prime factorization of 94220 in exponential form is:
94220 = 22 × 51 × 71 × 6731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 94220 and 94230.
LCM(94220,94230) = 22 × 51 × 71 × 6731 × 33 × 3491
LCM(94220,94230) = 887835060
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