What is the Least Common Multiple of 60191 and 60202?
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 60191 and 60202 is 3623618582.
LCM(60191,60202) = 3623618582
Least Common Multiple of 60191 and 60202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60191 and 60202, than apply into the LCM equation.
GCF(60191,60202) = 1
LCM(60191,60202) = ( 60191 × 60202) / 1
LCM(60191,60202) = 3623618582 / 1
LCM(60191,60202) = 3623618582
Least Common Multiple (LCM) of 60191 and 60202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60191 and 60202. First we will calculate the prime factors of 60191 and 60202.
Prime Factorization of 60191
Prime factors of 60191 are 23, 2617. Prime factorization of 60191 in exponential form is:
60191 = 231 × 26171
Prime Factorization of 60202
Prime factors of 60202 are 2, 31, 971. Prime factorization of 60202 in exponential form is:
60202 = 21 × 311 × 9711
Now multiplying the highest exponent prime factors to calculate the LCM of 60191 and 60202.
LCM(60191,60202) = 231 × 26171 × 21 × 311 × 9711
LCM(60191,60202) = 3623618582
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