What is the Least Common Multiple of 60433 and 60446?
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 60433 and 60446 is 3652933118.
LCM(60433,60446) = 3652933118
Least Common Multiple of 60433 and 60446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60433 and 60446, than apply into the LCM equation.
GCF(60433,60446) = 1
LCM(60433,60446) = ( 60433 × 60446) / 1
LCM(60433,60446) = 3652933118 / 1
LCM(60433,60446) = 3652933118
Least Common Multiple (LCM) of 60433 and 60446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60433 and 60446. First we will calculate the prime factors of 60433 and 60446.
Prime Factorization of 60433
Prime factors of 60433 are 223, 271. Prime factorization of 60433 in exponential form is:
60433 = 2231 × 2711
Prime Factorization of 60446
Prime factors of 60446 are 2, 30223. Prime factorization of 60446 in exponential form is:
60446 = 21 × 302231
Now multiplying the highest exponent prime factors to calculate the LCM of 60433 and 60446.
LCM(60433,60446) = 2231 × 2711 × 21 × 302231
LCM(60433,60446) = 3652933118
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