What is the Least Common Multiple of 64472 and 64477?
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 64472 and 64477 is 4156961144.
LCM(64472,64477) = 4156961144
Least Common Multiple of 64472 and 64477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64472 and 64477, than apply into the LCM equation.
GCF(64472,64477) = 1
LCM(64472,64477) = ( 64472 × 64477) / 1
LCM(64472,64477) = 4156961144 / 1
LCM(64472,64477) = 4156961144
Least Common Multiple (LCM) of 64472 and 64477 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64472 and 64477. First we will calculate the prime factors of 64472 and 64477.
Prime Factorization of 64472
Prime factors of 64472 are 2, 8059. Prime factorization of 64472 in exponential form is:
64472 = 23 × 80591
Prime Factorization of 64477
Prime factors of 64477 are 7, 61, 151. Prime factorization of 64477 in exponential form is:
64477 = 71 × 611 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 64472 and 64477.
LCM(64472,64477) = 23 × 80591 × 71 × 611 × 1511
LCM(64472,64477) = 4156961144
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