What is the Least Common Multiple of 60062 and 60075?
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 60062 and 60075 is 3608224650.
LCM(60062,60075) = 3608224650
Least Common Multiple of 60062 and 60075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60062 and 60075, than apply into the LCM equation.
GCF(60062,60075) = 1
LCM(60062,60075) = ( 60062 × 60075) / 1
LCM(60062,60075) = 3608224650 / 1
LCM(60062,60075) = 3608224650
Least Common Multiple (LCM) of 60062 and 60075 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60062 and 60075. First we will calculate the prime factors of 60062 and 60075.
Prime Factorization of 60062
Prime factors of 60062 are 2, 59, 509. Prime factorization of 60062 in exponential form is:
60062 = 21 × 591 × 5091
Prime Factorization of 60075
Prime factors of 60075 are 3, 5, 89. Prime factorization of 60075 in exponential form is:
60075 = 33 × 52 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 60062 and 60075.
LCM(60062,60075) = 21 × 591 × 5091 × 33 × 52 × 891
LCM(60062,60075) = 3608224650
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