What is the Least Common Multiple of 60199 and 60203?
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 60199 and 60203 is 3624160397.
LCM(60199,60203) = 3624160397
Least Common Multiple of 60199 and 60203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60199 and 60203, than apply into the LCM equation.
GCF(60199,60203) = 1
LCM(60199,60203) = ( 60199 × 60203) / 1
LCM(60199,60203) = 3624160397 / 1
LCM(60199,60203) = 3624160397
Least Common Multiple (LCM) of 60199 and 60203 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60199 and 60203. First we will calculate the prime factors of 60199 and 60203.
Prime Factorization of 60199
Prime factors of 60199 are 37, 1627. Prime factorization of 60199 in exponential form is:
60199 = 371 × 16271
Prime Factorization of 60203
Prime factors of 60203 are 11, 13, 421. Prime factorization of 60203 in exponential form is:
60203 = 111 × 131 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 60199 and 60203.
LCM(60199,60203) = 371 × 16271 × 111 × 131 × 4211
LCM(60199,60203) = 3624160397
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