What is the Least Common Multiple of 91463 and 91476?
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 91463 and 91476 is 8366669388.
LCM(91463,91476) = 8366669388
Least Common Multiple of 91463 and 91476 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91463 and 91476, than apply into the LCM equation.
GCF(91463,91476) = 1
LCM(91463,91476) = ( 91463 × 91476) / 1
LCM(91463,91476) = 8366669388 / 1
LCM(91463,91476) = 8366669388
Least Common Multiple (LCM) of 91463 and 91476 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91463 and 91476. First we will calculate the prime factors of 91463 and 91476.
Prime Factorization of 91463
Prime factors of 91463 are 91463. Prime factorization of 91463 in exponential form is:
91463 = 914631
Prime Factorization of 91476
Prime factors of 91476 are 2, 3, 7, 11. Prime factorization of 91476 in exponential form is:
91476 = 22 × 33 × 71 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 91463 and 91476.
LCM(91463,91476) = 914631 × 22 × 33 × 71 × 112
LCM(91463,91476) = 8366669388
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