What is the Least Common Multiple of 44476 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 44476 and 44480 is 494573120.
LCM(44476,44480) = 494573120
Least Common Multiple of 44476 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 44476 and 44480, than apply into the LCM equation.
GCF(44476,44480) = 4
LCM(44476,44480) = ( 44476 × 44480) / 4
LCM(44476,44480) = 1978292480 / 4
LCM(44476,44480) = 494573120
Least Common Multiple (LCM) of 44476 and 44480 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44476 and 44480. First we will calculate the prime factors of 44476 and 44480.
Prime Factorization of 44476
Prime factors of 44476 are 2, 11119. Prime factorization of 44476 in exponential form is:
44476 = 22 × 111191
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 44476 and 44480.
LCM(44476,44480) = 26 × 111191 × 51 × 1391
LCM(44476,44480) = 494573120
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