What is the Least Common Multiple of 60203 and 60207?
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 60203 and 60207 is 3624642021.
LCM(60203,60207) = 3624642021
Least Common Multiple of 60203 and 60207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60203 and 60207, than apply into the LCM equation.
GCF(60203,60207) = 1
LCM(60203,60207) = ( 60203 × 60207) / 1
LCM(60203,60207) = 3624642021 / 1
LCM(60203,60207) = 3624642021
Least Common Multiple (LCM) of 60203 and 60207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60203 and 60207. First we will calculate the prime factors of 60203 and 60207.
Prime Factorization of 60203
Prime factors of 60203 are 11, 13, 421. Prime factorization of 60203 in exponential form is:
60203 = 111 × 131 × 4211
Prime Factorization of 60207
Prime factors of 60207 are 3, 7, 47, 61. Prime factorization of 60207 in exponential form is:
60207 = 31 × 71 × 471 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 60203 and 60207.
LCM(60203,60207) = 111 × 131 × 4211 × 31 × 71 × 471 × 611
LCM(60203,60207) = 3624642021
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