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What is the Least Common Multiple of 60770 and 60780?

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 60770 and 60780 is 369360060.

LCM(60770,60780) = 369360060

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Least Common Multiple of 60770 and 60780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60770 and 60780, than apply into the LCM equation.

GCF(60770,60780) = 10
LCM(60770,60780) = ( 60770 × 60780) / 10
LCM(60770,60780) = 3693600600 / 10
LCM(60770,60780) = 369360060

Least Common Multiple (LCM) of 60770 and 60780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60770 and 60780. First we will calculate the prime factors of 60770 and 60780.

Prime Factorization of 60770

Prime factors of 60770 are 2, 5, 59, 103. Prime factorization of 60770 in exponential form is:

60770 = 21 × 51 × 591 × 1031

Prime Factorization of 60780

Prime factors of 60780 are 2, 3, 5, 1013. Prime factorization of 60780 in exponential form is:

60780 = 22 × 31 × 51 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 60770 and 60780.

LCM(60770,60780) = 22 × 51 × 591 × 1031 × 31 × 10131
LCM(60770,60780) = 369360060