What is the Least Common Multiple of 66628 and 66646?
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 66628 and 66646 is 2220244844.
LCM(66628,66646) = 2220244844
Least Common Multiple of 66628 and 66646 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66628 and 66646, than apply into the LCM equation.
GCF(66628,66646) = 2
LCM(66628,66646) = ( 66628 × 66646) / 2
LCM(66628,66646) = 4440489688 / 2
LCM(66628,66646) = 2220244844
Least Common Multiple (LCM) of 66628 and 66646 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66628 and 66646. First we will calculate the prime factors of 66628 and 66646.
Prime Factorization of 66628
Prime factors of 66628 are 2, 16657. Prime factorization of 66628 in exponential form is:
66628 = 22 × 166571
Prime Factorization of 66646
Prime factors of 66646 are 2, 47, 709. Prime factorization of 66646 in exponential form is:
66646 = 21 × 471 × 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 66628 and 66646.
LCM(66628,66646) = 22 × 166571 × 471 × 7091
LCM(66628,66646) = 2220244844
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