What is the Least Common Multiple of 44216 and 44222?
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 44216 and 44222 is 977659976.
LCM(44216,44222) = 977659976
Least Common Multiple of 44216 and 44222 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44216 and 44222, than apply into the LCM equation.
GCF(44216,44222) = 2
LCM(44216,44222) = ( 44216 × 44222) / 2
LCM(44216,44222) = 1955319952 / 2
LCM(44216,44222) = 977659976
Least Common Multiple (LCM) of 44216 and 44222 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44216 and 44222. First we will calculate the prime factors of 44216 and 44222.
Prime Factorization of 44216
Prime factors of 44216 are 2, 5527. Prime factorization of 44216 in exponential form is:
44216 = 23 × 55271
Prime Factorization of 44222
Prime factors of 44222 are 2, 22111. Prime factorization of 44222 in exponential form is:
44222 = 21 × 221111
Now multiplying the highest exponent prime factors to calculate the LCM of 44216 and 44222.
LCM(44216,44222) = 23 × 55271 × 221111
LCM(44216,44222) = 977659976
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