What is the Least Common Multiple of 66628 and 66637?
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 66637 is 4439890036.
LCM(66628,66637) = 4439890036
Least Common Multiple of 66628 and 66637 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 66637, than apply into the LCM equation.
GCF(66628,66637) = 1
LCM(66628,66637) = ( 66628 × 66637) / 1
LCM(66628,66637) = 4439890036 / 1
LCM(66628,66637) = 4439890036
Least Common Multiple (LCM) of 66628 and 66637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66628 and 66637. First we will calculate the prime factors of 66628 and 66637.
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 66637
Prime factors of 66637 are 37, 1801. Prime factorization of 66637 in exponential form is:
66637 = 371 × 18011
Now multiplying the highest exponent prime factors to calculate the LCM of 66628 and 66637.
LCM(66628,66637) = 22 × 166571 × 371 × 18011
LCM(66628,66637) = 4439890036
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