What is the Least Common Multiple of 91429 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 91429 and 91436 is 8359902044.
LCM(91429,91436) = 8359902044
Least Common Multiple of 91429 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 91429 and 91436, than apply into the LCM equation.
GCF(91429,91436) = 1
LCM(91429,91436) = ( 91429 × 91436) / 1
LCM(91429,91436) = 8359902044 / 1
LCM(91429,91436) = 8359902044
Least Common Multiple (LCM) of 91429 and 91436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91429 and 91436. First we will calculate the prime factors of 91429 and 91436.
Prime Factorization of 91429
Prime factors of 91429 are 13, 541. Prime factorization of 91429 in exponential form is:
91429 = 132 × 5411
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 91429 and 91436.
LCM(91429,91436) = 132 × 5411 × 22 × 228591
LCM(91429,91436) = 8359902044
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