What is the Least Common Multiple of 4426 and 4445?
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 4426 and 4445 is 19673570.
LCM(4426,4445) = 19673570
Least Common Multiple of 4426 and 4445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4426 and 4445, than apply into the LCM equation.
GCF(4426,4445) = 1
LCM(4426,4445) = ( 4426 × 4445) / 1
LCM(4426,4445) = 19673570 / 1
LCM(4426,4445) = 19673570
Least Common Multiple (LCM) of 4426 and 4445 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4426 and 4445. First we will calculate the prime factors of 4426 and 4445.
Prime Factorization of 4426
Prime factors of 4426 are 2, 2213. Prime factorization of 4426 in exponential form is:
4426 = 21 × 22131
Prime Factorization of 4445
Prime factors of 4445 are 5, 7, 127. Prime factorization of 4445 in exponential form is:
4445 = 51 × 71 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 4426 and 4445.
LCM(4426,4445) = 21 × 22131 × 51 × 71 × 1271
LCM(4426,4445) = 19673570
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