What is the Least Common Multiple of 91617 and 91636?
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 91617 and 91636 is 8395415412.
LCM(91617,91636) = 8395415412
Least Common Multiple of 91617 and 91636 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91617 and 91636, than apply into the LCM equation.
GCF(91617,91636) = 1
LCM(91617,91636) = ( 91617 × 91636) / 1
LCM(91617,91636) = 8395415412 / 1
LCM(91617,91636) = 8395415412
Least Common Multiple (LCM) of 91617 and 91636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91617 and 91636. First we will calculate the prime factors of 91617 and 91636.
Prime Factorization of 91617
Prime factors of 91617 are 3, 30539. Prime factorization of 91617 in exponential form is:
91617 = 31 × 305391
Prime Factorization of 91636
Prime factors of 91636 are 2, 31, 739. Prime factorization of 91636 in exponential form is:
91636 = 22 × 311 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 91617 and 91636.
LCM(91617,91636) = 31 × 305391 × 22 × 311 × 7391
LCM(91617,91636) = 8395415412
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