What is the Least Common Multiple of 60623 and 60642?
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 60623 and 60642 is 3676299966.
LCM(60623,60642) = 3676299966
Least Common Multiple of 60623 and 60642 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60623 and 60642, than apply into the LCM equation.
GCF(60623,60642) = 1
LCM(60623,60642) = ( 60623 × 60642) / 1
LCM(60623,60642) = 3676299966 / 1
LCM(60623,60642) = 3676299966
Least Common Multiple (LCM) of 60623 and 60642 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60623 and 60642. First we will calculate the prime factors of 60623 and 60642.
Prime Factorization of 60623
Prime factors of 60623 are 60623. Prime factorization of 60623 in exponential form is:
60623 = 606231
Prime Factorization of 60642
Prime factors of 60642 are 2, 3, 1123. Prime factorization of 60642 in exponential form is:
60642 = 21 × 33 × 11231
Now multiplying the highest exponent prime factors to calculate the LCM of 60623 and 60642.
LCM(60623,60642) = 606231 × 21 × 33 × 11231
LCM(60623,60642) = 3676299966
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