What is the Least Common Multiple of 44746 and 44762?
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 44746 and 44762 is 1001460226.
LCM(44746,44762) = 1001460226
Least Common Multiple of 44746 and 44762 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44746 and 44762, than apply into the LCM equation.
GCF(44746,44762) = 2
LCM(44746,44762) = ( 44746 × 44762) / 2
LCM(44746,44762) = 2002920452 / 2
LCM(44746,44762) = 1001460226
Least Common Multiple (LCM) of 44746 and 44762 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44746 and 44762. First we will calculate the prime factors of 44746 and 44762.
Prime Factorization of 44746
Prime factors of 44746 are 2, 13, 1721. Prime factorization of 44746 in exponential form is:
44746 = 21 × 131 × 17211
Prime Factorization of 44762
Prime factors of 44762 are 2, 22381. Prime factorization of 44762 in exponential form is:
44762 = 21 × 223811
Now multiplying the highest exponent prime factors to calculate the LCM of 44746 and 44762.
LCM(44746,44762) = 21 × 131 × 17211 × 223811
LCM(44746,44762) = 1001460226
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