What is the Least Common Multiple of 64162 and 64166?
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 64162 and 64166 is 2058509446.
LCM(64162,64166) = 2058509446
Least Common Multiple of 64162 and 64166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64162 and 64166, than apply into the LCM equation.
GCF(64162,64166) = 2
LCM(64162,64166) = ( 64162 × 64166) / 2
LCM(64162,64166) = 4117018892 / 2
LCM(64162,64166) = 2058509446
Least Common Multiple (LCM) of 64162 and 64166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64162 and 64166. First we will calculate the prime factors of 64162 and 64166.
Prime Factorization of 64162
Prime factors of 64162 are 2, 7, 4583. Prime factorization of 64162 in exponential form is:
64162 = 21 × 71 × 45831
Prime Factorization of 64166
Prime factors of 64166 are 2, 32083. Prime factorization of 64166 in exponential form is:
64166 = 21 × 320831
Now multiplying the highest exponent prime factors to calculate the LCM of 64162 and 64166.
LCM(64162,64166) = 21 × 71 × 45831 × 320831
LCM(64162,64166) = 2058509446
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