What is the Least Common Multiple of 66544 and 66548?
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 66544 and 66548 is 1107092528.
LCM(66544,66548) = 1107092528
Least Common Multiple of 66544 and 66548 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66544 and 66548, than apply into the LCM equation.
GCF(66544,66548) = 4
LCM(66544,66548) = ( 66544 × 66548) / 4
LCM(66544,66548) = 4428370112 / 4
LCM(66544,66548) = 1107092528
Least Common Multiple (LCM) of 66544 and 66548 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66544 and 66548. First we will calculate the prime factors of 66544 and 66548.
Prime Factorization of 66544
Prime factors of 66544 are 2, 4159. Prime factorization of 66544 in exponential form is:
66544 = 24 × 41591
Prime Factorization of 66548
Prime factors of 66548 are 2, 127, 131. Prime factorization of 66548 in exponential form is:
66548 = 22 × 1271 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 66544 and 66548.
LCM(66544,66548) = 24 × 41591 × 1271 × 1311
LCM(66544,66548) = 1107092528
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