What is the Least Common Multiple of 60986 and 60990?
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 60986 and 60990 is 1859768070.
LCM(60986,60990) = 1859768070
Least Common Multiple of 60986 and 60990 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60986 and 60990, than apply into the LCM equation.
GCF(60986,60990) = 2
LCM(60986,60990) = ( 60986 × 60990) / 2
LCM(60986,60990) = 3719536140 / 2
LCM(60986,60990) = 1859768070
Least Common Multiple (LCM) of 60986 and 60990 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60986 and 60990. First we will calculate the prime factors of 60986 and 60990.
Prime Factorization of 60986
Prime factors of 60986 are 2, 30493. Prime factorization of 60986 in exponential form is:
60986 = 21 × 304931
Prime Factorization of 60990
Prime factors of 60990 are 2, 3, 5, 19, 107. Prime factorization of 60990 in exponential form is:
60990 = 21 × 31 × 51 × 191 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 60986 and 60990.
LCM(60986,60990) = 21 × 304931 × 31 × 51 × 191 × 1071
LCM(60986,60990) = 1859768070
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