What is the Least Common Multiple of 60737 and 60748?
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 60737 and 60748 is 3689651276.
LCM(60737,60748) = 3689651276
Least Common Multiple of 60737 and 60748 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60737 and 60748, than apply into the LCM equation.
GCF(60737,60748) = 1
LCM(60737,60748) = ( 60737 × 60748) / 1
LCM(60737,60748) = 3689651276 / 1
LCM(60737,60748) = 3689651276
Least Common Multiple (LCM) of 60737 and 60748 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60737 and 60748. First we will calculate the prime factors of 60737 and 60748.
Prime Factorization of 60737
Prime factors of 60737 are 60737. Prime factorization of 60737 in exponential form is:
60737 = 607371
Prime Factorization of 60748
Prime factors of 60748 are 2, 15187. Prime factorization of 60748 in exponential form is:
60748 = 22 × 151871
Now multiplying the highest exponent prime factors to calculate the LCM of 60737 and 60748.
LCM(60737,60748) = 607371 × 22 × 151871
LCM(60737,60748) = 3689651276
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