What is the Least Common Multiple of 60610 and 60623?
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 60610 and 60623 is 3674360030.
LCM(60610,60623) = 3674360030
Least Common Multiple of 60610 and 60623 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60610 and 60623, than apply into the LCM equation.
GCF(60610,60623) = 1
LCM(60610,60623) = ( 60610 × 60623) / 1
LCM(60610,60623) = 3674360030 / 1
LCM(60610,60623) = 3674360030
Least Common Multiple (LCM) of 60610 and 60623 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60610 and 60623. First we will calculate the prime factors of 60610 and 60623.
Prime Factorization of 60610
Prime factors of 60610 are 2, 5, 11, 19, 29. Prime factorization of 60610 in exponential form is:
60610 = 21 × 51 × 111 × 191 × 291
Prime Factorization of 60623
Prime factors of 60623 are 60623. Prime factorization of 60623 in exponential form is:
60623 = 606231
Now multiplying the highest exponent prime factors to calculate the LCM of 60610 and 60623.
LCM(60610,60623) = 21 × 51 × 111 × 191 × 291 × 606231
LCM(60610,60623) = 3674360030
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