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What is the Least Common Multiple of 67962 and 67969?

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 67962 and 67969 is 4619309178.

LCM(67962,67969) = 4619309178

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Least Common Multiple of 67962 and 67969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67962 and 67969, than apply into the LCM equation.

GCF(67962,67969) = 1
LCM(67962,67969) = ( 67962 × 67969) / 1
LCM(67962,67969) = 4619309178 / 1
LCM(67962,67969) = 4619309178

Least Common Multiple (LCM) of 67962 and 67969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67962 and 67969. First we will calculate the prime factors of 67962 and 67969.

Prime Factorization of 67962

Prime factors of 67962 are 2, 3, 47, 241. Prime factorization of 67962 in exponential form is:

67962 = 21 × 31 × 471 × 2411

Prime Factorization of 67969

Prime factors of 67969 are 11, 37, 167. Prime factorization of 67969 in exponential form is:

67969 = 111 × 371 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 67962 and 67969.

LCM(67962,67969) = 21 × 31 × 471 × 2411 × 111 × 371 × 1671
LCM(67962,67969) = 4619309178