What is the Least Common Multiple of 60484 and 60495?
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 60484 and 60495 is 3658979580.
LCM(60484,60495) = 3658979580
Least Common Multiple of 60484 and 60495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60484 and 60495, than apply into the LCM equation.
GCF(60484,60495) = 1
LCM(60484,60495) = ( 60484 × 60495) / 1
LCM(60484,60495) = 3658979580 / 1
LCM(60484,60495) = 3658979580
Least Common Multiple (LCM) of 60484 and 60495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60484 and 60495. First we will calculate the prime factors of 60484 and 60495.
Prime Factorization of 60484
Prime factors of 60484 are 2, 15121. Prime factorization of 60484 in exponential form is:
60484 = 22 × 151211
Prime Factorization of 60495
Prime factors of 60495 are 3, 5, 37, 109. Prime factorization of 60495 in exponential form is:
60495 = 31 × 51 × 371 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 60484 and 60495.
LCM(60484,60495) = 22 × 151211 × 31 × 51 × 371 × 1091
LCM(60484,60495) = 3658979580
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