What is the Least Common Multiple of 44463 and 44480?
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 44463 and 44480 is 1977714240.
LCM(44463,44480) = 1977714240
Least Common Multiple of 44463 and 44480 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44463 and 44480, than apply into the LCM equation.
GCF(44463,44480) = 1
LCM(44463,44480) = ( 44463 × 44480) / 1
LCM(44463,44480) = 1977714240 / 1
LCM(44463,44480) = 1977714240
Least Common Multiple (LCM) of 44463 and 44480 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44463 and 44480. First we will calculate the prime factors of 44463 and 44480.
Prime Factorization of 44463
Prime factors of 44463 are 3, 14821. Prime factorization of 44463 in exponential form is:
44463 = 31 × 148211
Prime Factorization of 44480
Prime factors of 44480 are 2, 5, 139. Prime factorization of 44480 in exponential form is:
44480 = 26 × 51 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 44463 and 44480.
LCM(44463,44480) = 31 × 148211 × 26 × 51 × 1391
LCM(44463,44480) = 1977714240
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