What is the Least Common Multiple of 60452 and 60461?
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 60452 and 60461 is 3654988372.
LCM(60452,60461) = 3654988372
Least Common Multiple of 60452 and 60461 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60452 and 60461, than apply into the LCM equation.
GCF(60452,60461) = 1
LCM(60452,60461) = ( 60452 × 60461) / 1
LCM(60452,60461) = 3654988372 / 1
LCM(60452,60461) = 3654988372
Least Common Multiple (LCM) of 60452 and 60461 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60452 and 60461. First we will calculate the prime factors of 60452 and 60461.
Prime Factorization of 60452
Prime factors of 60452 are 2, 7, 17, 127. Prime factorization of 60452 in exponential form is:
60452 = 22 × 71 × 171 × 1271
Prime Factorization of 60461
Prime factors of 60461 are 103, 587. Prime factorization of 60461 in exponential form is:
60461 = 1031 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 60452 and 60461.
LCM(60452,60461) = 22 × 71 × 171 × 1271 × 1031 × 5871
LCM(60452,60461) = 3654988372
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