What is the Least Common Multiple of 91422 and 91436?
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 91422 and 91436 is 4179630996.
LCM(91422,91436) = 4179630996
Least Common Multiple of 91422 and 91436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91422 and 91436, than apply into the LCM equation.
GCF(91422,91436) = 2
LCM(91422,91436) = ( 91422 × 91436) / 2
LCM(91422,91436) = 8359261992 / 2
LCM(91422,91436) = 4179630996
Least Common Multiple (LCM) of 91422 and 91436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91422 and 91436. First we will calculate the prime factors of 91422 and 91436.
Prime Factorization of 91422
Prime factors of 91422 are 2, 3, 1693. Prime factorization of 91422 in exponential form is:
91422 = 21 × 33 × 16931
Prime Factorization of 91436
Prime factors of 91436 are 2, 22859. Prime factorization of 91436 in exponential form is:
91436 = 22 × 228591
Now multiplying the highest exponent prime factors to calculate the LCM of 91422 and 91436.
LCM(91422,91436) = 22 × 33 × 16931 × 228591
LCM(91422,91436) = 4179630996
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