What is the Least Common Multiple of 60215 and 60222?
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 60215 and 60222 is 3626267730.
LCM(60215,60222) = 3626267730
Least Common Multiple of 60215 and 60222 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60215 and 60222, than apply into the LCM equation.
GCF(60215,60222) = 1
LCM(60215,60222) = ( 60215 × 60222) / 1
LCM(60215,60222) = 3626267730 / 1
LCM(60215,60222) = 3626267730
Least Common Multiple (LCM) of 60215 and 60222 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60215 and 60222. First we will calculate the prime factors of 60215 and 60222.
Prime Factorization of 60215
Prime factors of 60215 are 5, 12043. Prime factorization of 60215 in exponential form is:
60215 = 51 × 120431
Prime Factorization of 60222
Prime factors of 60222 are 2, 3, 10037. Prime factorization of 60222 in exponential form is:
60222 = 21 × 31 × 100371
Now multiplying the highest exponent prime factors to calculate the LCM of 60215 and 60222.
LCM(60215,60222) = 51 × 120431 × 21 × 31 × 100371
LCM(60215,60222) = 3626267730
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