What is the Least Common Multiple of 60222 and 60241?
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 60222 and 60241 is 3627833502.
LCM(60222,60241) = 3627833502
Least Common Multiple of 60222 and 60241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60222 and 60241, than apply into the LCM equation.
GCF(60222,60241) = 1
LCM(60222,60241) = ( 60222 × 60241) / 1
LCM(60222,60241) = 3627833502 / 1
LCM(60222,60241) = 3627833502
Least Common Multiple (LCM) of 60222 and 60241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60222 and 60241. First we will calculate the prime factors of 60222 and 60241.
Prime Factorization of 60222
Prime factors of 60222 are 2, 3, 10037. Prime factorization of 60222 in exponential form is:
60222 = 21 × 31 × 100371
Prime Factorization of 60241
Prime factors of 60241 are 107, 563. Prime factorization of 60241 in exponential form is:
60241 = 1071 × 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 60222 and 60241.
LCM(60222,60241) = 21 × 31 × 100371 × 1071 × 5631
LCM(60222,60241) = 3627833502
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